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Finding the Fourth Proportional to 7,460.61, 10,291.77 and 4,627.08

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Solution

The fourth proportional to 7,460.61, 10,291.77 and 4,627.08 is: 6,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.61 : 10,291.77 = 4,627.08 : x
  2. Step 2: Convert to fraction form
    7,460.61/10,291.77 = 4,627.08/x
  3. Step 3: Cross multiply
    7,460.61x = 10,291.77 × 4,627.08
  4. Step 4: Simplify right side
    7,460.61x = 47,620,843.13
  5. Step 5: Solve for x
    x = 47,620,843.13/7,460.61
  6. Step 6: Final answer
    x = 6,382.97

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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.