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Finding the Fourth Proportional to 11,098.80, 15,315.48 and 6,382.17

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Solution

The fourth proportional to 11,098.80, 15,315.48 and 6,382.17 is: 8,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.80 : 15,315.48 = 6,382.17 : x
  2. Step 2: Convert to fraction form
    11,098.80/15,315.48 = 6,382.17/x
  3. Step 3: Cross multiply
    11,098.80x = 15,315.48 × 6,382.17
  4. Step 4: Simplify right side
    11,098.80x = 97,745,996.99
  5. Step 5: Solve for x
    x = 97,745,996.99/11,098.80
  6. Step 6: Final answer
    x = 8,806.90

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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.