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Finding the Fourth Proportional to 11,329.97, 15,634.85 and 6,294.53

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Solution

The fourth proportional to 11,329.97, 15,634.85 and 6,294.53 is: 8,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.97 : 15,634.85 = 6,294.53 : x
  2. Step 2: Convert to fraction form
    11,329.97/15,634.85 = 6,294.53/x
  3. Step 3: Cross multiply
    11,329.97x = 15,634.85 × 6,294.53
  4. Step 4: Simplify right side
    11,329.97x = 98,414,039.98
  5. Step 5: Solve for x
    x = 98,414,039.98/11,329.97
  6. Step 6: Final answer
    x = 8,686.17

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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.