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Finding the Fourth Proportional to 11,186.91, 15,432.93 and 6,467.85

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Solution

The fourth proportional to 11,186.91, 15,432.93 and 6,467.85 is: 8,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.91 : 15,432.93 = 6,467.85 : x
  2. Step 2: Convert to fraction form
    11,186.91/15,432.93 = 6,467.85/x
  3. Step 3: Cross multiply
    11,186.91x = 15,432.93 × 6,467.85
  4. Step 4: Simplify right side
    11,186.91x = 99,817,876.30
  5. Step 5: Solve for x
    x = 99,817,876.30/11,186.91
  6. Step 6: Final answer
    x = 8,922.74

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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.