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Finding the Fourth Proportional to 12,677.28, 17,491.68 and 7,640.16

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Solution

The fourth proportional to 12,677.28, 17,491.68 and 7,640.16 is: 10,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.28 : 17,491.68 = 7,640.16 : x
  2. Step 2: Convert to fraction form
    12,677.28/17,491.68 = 7,640.16/x
  3. Step 3: Cross multiply
    12,677.28x = 17,491.68 × 7,640.16
  4. Step 4: Simplify right side
    12,677.28x = 133,639,233.87
  5. Step 5: Solve for x
    x = 133,639,233.87/12,677.28
  6. Step 6: Final answer
    x = 10,541.63

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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.