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Finding the Fourth Proportional to 7,644.12, 11,449.98 and 5,774.64

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Solution

The fourth proportional to 7,644.12, 11,449.98 and 5,774.64 is: 8,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.12 : 11,449.98 = 5,774.64 : x
  2. Step 2: Convert to fraction form
    7,644.12/11,449.98 = 5,774.64/x
  3. Step 3: Cross multiply
    7,644.12x = 11,449.98 × 5,774.64
  4. Step 4: Simplify right side
    7,644.12x = 66,119,512.51
  5. Step 5: Solve for x
    x = 66,119,512.51/7,644.12
  6. Step 6: Final answer
    x = 8,649.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.