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Finding the Fourth Proportional to 10,689.52, 14,752.14 and 5,909.44

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Solution

The fourth proportional to 10,689.52, 14,752.14 and 5,909.44 is: 8,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.52 : 14,752.14 = 5,909.44 : x
  2. Step 2: Convert to fraction form
    10,689.52/14,752.14 = 5,909.44/x
  3. Step 3: Cross multiply
    10,689.52x = 14,752.14 × 5,909.44
  4. Step 4: Simplify right side
    10,689.52x = 87,176,886.20
  5. Step 5: Solve for x
    x = 87,176,886.20/10,689.52
  6. Step 6: Final answer
    x = 8,155.36

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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.