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Finding the Fourth Proportional to 11,382.32, 15,707 and 6,414

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Solution

The fourth proportional to 11,382.32, 15,707 and 6,414 is: 8,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.32 : 15,707 = 6,414 : x
  2. Step 2: Convert to fraction form
    11,382.32/15,707 = 6,414/x
  3. Step 3: Cross multiply
    11,382.32x = 15,707 × 6,414
  4. Step 4: Simplify right side
    11,382.32x = 100,744,698
  5. Step 5: Solve for x
    x = 100,744,698/11,382.32
  6. Step 6: Final answer
    x = 8,850.98

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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.