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Finding the Fourth Proportional to 11,428.17, 15,755.76 and 8,238.80

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Solution

The fourth proportional to 11,428.17, 15,755.76 and 8,238.80 is: 11,358.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.17 : 15,755.76 = 8,238.80 : x
  2. Step 2: Convert to fraction form
    11,428.17/15,755.76 = 8,238.80/x
  3. Step 3: Cross multiply
    11,428.17x = 15,755.76 × 8,238.80
  4. Step 4: Simplify right side
    11,428.17x = 129,808,476.71
  5. Step 5: Solve for x
    x = 129,808,476.71/11,428.17
  6. Step 6: Final answer
    x = 11,358.64

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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.