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Finding the Fourth Proportional to 11,397.20, 15,735.25 and 7,366.14

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Solution

The fourth proportional to 11,397.20, 15,735.25 and 7,366.14 is: 10,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.20 : 15,735.25 = 7,366.14 : x
  2. Step 2: Convert to fraction form
    11,397.20/15,735.25 = 7,366.14/x
  3. Step 3: Cross multiply
    11,397.20x = 15,735.25 × 7,366.14
  4. Step 4: Simplify right side
    11,397.20x = 115,907,938.93
  5. Step 5: Solve for x
    x = 115,907,938.93/11,397.20
  6. Step 6: Final answer
    x = 10,169.86

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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.