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Finding the Fourth Proportional to 10,456.38, 14,415.84 and 8,957.88

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Solution

The fourth proportional to 10,456.38, 14,415.84 and 8,957.88 is: 12,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.38 : 14,415.84 = 8,957.88 : x
  2. Step 2: Convert to fraction form
    10,456.38/14,415.84 = 8,957.88/x
  3. Step 3: Cross multiply
    10,456.38x = 14,415.84 × 8,957.88
  4. Step 4: Simplify right side
    10,456.38x = 129,135,364.82
  5. Step 5: Solve for x
    x = 129,135,364.82/10,456.38
  6. Step 6: Final answer
    x = 12,349.91

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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.