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Finding the Fourth Proportional to 10,665.28, 14,716.92 and 7,516

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Solution

The fourth proportional to 10,665.28, 14,716.92 and 7,516 is: 10,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.28 : 14,716.92 = 7,516 : x
  2. Step 2: Convert to fraction form
    10,665.28/14,716.92 = 7,516/x
  3. Step 3: Cross multiply
    10,665.28x = 14,716.92 × 7,516
  4. Step 4: Simplify right side
    10,665.28x = 110,612,370.72
  5. Step 5: Solve for x
    x = 110,612,370.72/10,665.28
  6. Step 6: Final answer
    x = 10,371.26

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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.