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Finding the Fourth Proportional to 10,502.66, 15,753.82 and 4,262.64

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Solution

The fourth proportional to 10,502.66, 15,753.82 and 4,262.64 is: 6,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.66 : 15,753.82 = 4,262.64 : x
  2. Step 2: Convert to fraction form
    10,502.66/15,753.82 = 4,262.64/x
  3. Step 3: Cross multiply
    10,502.66x = 15,753.82 × 4,262.64
  4. Step 4: Simplify right side
    10,502.66x = 67,152,863.28
  5. Step 5: Solve for x
    x = 67,152,863.28/10,502.66
  6. Step 6: Final answer
    x = 6,393.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.