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Finding the Fourth Proportional to 11,509.52, 15,884.55 and 6,473.96

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Solution

The fourth proportional to 11,509.52, 15,884.55 and 6,473.96 is: 8,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.52 : 15,884.55 = 6,473.96 : x
  2. Step 2: Convert to fraction form
    11,509.52/15,884.55 = 6,473.96/x
  3. Step 3: Cross multiply
    11,509.52x = 15,884.55 × 6,473.96
  4. Step 4: Simplify right side
    11,509.52x = 102,835,861.90
  5. Step 5: Solve for x
    x = 102,835,861.90/11,509.52
  6. Step 6: Final answer
    x = 8,934.85

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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.