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Finding the Fourth Proportional to 7,644,773.16, 10,549,788.46 and 4,207,014.20

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Solution

The fourth proportional to 7,644,773.16, 10,549,788.46 and 4,207,014.20 is: 5,805,680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644,773.16 : 10,549,788.46 = 4,207,014.20 : x
  2. Step 2: Convert to fraction form
    7,644,773.16/10,549,788.46 = 4,207,014.20/x
  3. Step 3: Cross multiply
    7,644,773.16x = 10,549,788.46 × 4,207,014.20
  4. Step 4: Simplify right side
    7,644,773.16x = 44,383,109,858,216.14
  5. Step 5: Solve for x
    x = 44,383,109,858,216.14/7,644,773.16
  6. Step 6: Final answer
    x = 5,805,680.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.