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Finding the Fourth Proportional to 11,211.39, 15,471.39 and 6,432.12

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Solution

The fourth proportional to 11,211.39, 15,471.39 and 6,432.12 is: 8,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.39 : 15,471.39 = 6,432.12 : x
  2. Step 2: Convert to fraction form
    11,211.39/15,471.39 = 6,432.12/x
  3. Step 3: Cross multiply
    11,211.39x = 15,471.39 × 6,432.12
  4. Step 4: Simplify right side
    11,211.39x = 99,513,837.05
  5. Step 5: Solve for x
    x = 99,513,837.05/11,211.39
  6. Step 6: Final answer
    x = 8,876.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.