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Finding the Fourth Proportional to 11,513.28, 15,892.18 and 7,735.16

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Solution

The fourth proportional to 11,513.28, 15,892.18 and 7,735.16 is: 10,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.28 : 15,892.18 = 7,735.16 : x
  2. Step 2: Convert to fraction form
    11,513.28/15,892.18 = 7,735.16/x
  3. Step 3: Cross multiply
    11,513.28x = 15,892.18 × 7,735.16
  4. Step 4: Simplify right side
    11,513.28x = 122,928,555.05
  5. Step 5: Solve for x
    x = 122,928,555.05/11,513.28
  6. Step 6: Final answer
    x = 10,677.11

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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.