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Finding the Fourth Proportional to 11,329.74, 15,635.25 and 6,294.42

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Solution

The fourth proportional to 11,329.74, 15,635.25 and 6,294.42 is: 8,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.74 : 15,635.25 = 6,294.42 : x
  2. Step 2: Convert to fraction form
    11,329.74/15,635.25 = 6,294.42/x
  3. Step 3: Cross multiply
    11,329.74x = 15,635.25 × 6,294.42
  4. Step 4: Simplify right side
    11,329.74x = 98,414,830.31
  5. Step 5: Solve for x
    x = 98,414,830.31/11,329.74
  6. Step 6: Final answer
    x = 8,686.42

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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.