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Finding the Fourth Proportional to 11,397.64, 15,729.78 and 7,149.34

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Solution

The fourth proportional to 11,397.64, 15,729.78 and 7,149.34 is: 9,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.64 : 15,729.78 = 7,149.34 : x
  2. Step 2: Convert to fraction form
    11,397.64/15,729.78 = 7,149.34/x
  3. Step 3: Cross multiply
    11,397.64x = 15,729.78 × 7,149.34
  4. Step 4: Simplify right side
    11,397.64x = 112,457,545.35
  5. Step 5: Solve for x
    x = 112,457,545.35/11,397.64
  6. Step 6: Final answer
    x = 9,866.74

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