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Finding the Fourth Proportional to 10,712.52, 16,063.52 and 4,470.66

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Solution

The fourth proportional to 10,712.52, 16,063.52 and 4,470.66 is: 6,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.52 : 16,063.52 = 4,470.66 : x
  2. Step 2: Convert to fraction form
    10,712.52/16,063.52 = 4,470.66/x
  3. Step 3: Cross multiply
    10,712.52x = 16,063.52 × 4,470.66
  4. Step 4: Simplify right side
    10,712.52x = 71,814,513.97
  5. Step 5: Solve for x
    x = 71,814,513.97/10,712.52
  6. Step 6: Final answer
    x = 6,703.79

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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.