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Finding the Fourth Proportional to 11,211.32, 15,472.14 and 6,498.20

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Solution

The fourth proportional to 11,211.32, 15,472.14 and 6,498.20 is: 8,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.32 : 15,472.14 = 6,498.20 : x
  2. Step 2: Convert to fraction form
    11,211.32/15,472.14 = 6,498.20/x
  3. Step 3: Cross multiply
    11,211.32x = 15,472.14 × 6,498.20
  4. Step 4: Simplify right side
    11,211.32x = 100,541,060.15
  5. Step 5: Solve for x
    x = 100,541,060.15/11,211.32
  6. Step 6: Final answer
    x = 8,967.82

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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.