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Finding the Fourth Proportional to 11,508.54, 15,882.35 and 6,474.34

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Solution

The fourth proportional to 11,508.54, 15,882.35 and 6,474.34 is: 8,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.54 : 15,882.35 = 6,474.34 : x
  2. Step 2: Convert to fraction form
    11,508.54/15,882.35 = 6,474.34/x
  3. Step 3: Cross multiply
    11,508.54x = 15,882.35 × 6,474.34
  4. Step 4: Simplify right side
    11,508.54x = 102,827,733.90
  5. Step 5: Solve for x
    x = 102,827,733.90/11,508.54
  6. Step 6: Final answer
    x = 8,934.91

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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.