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Finding the Fourth Proportional to 11,329.71, 15,634.92 and 6,225.30

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Solution

The fourth proportional to 11,329.71, 15,634.92 and 6,225.30 is: 8,590.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.71 : 15,634.92 = 6,225.30 : x
  2. Step 2: Convert to fraction form
    11,329.71/15,634.92 = 6,225.30/x
  3. Step 3: Cross multiply
    11,329.71x = 15,634.92 × 6,225.30
  4. Step 4: Simplify right side
    11,329.71x = 97,332,067.48
  5. Step 5: Solve for x
    x = 97,332,067.48/11,329.71
  6. Step 6: Final answer
    x = 8,590.87

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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.