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Finding the Fourth Proportional to 10,657.91, 14,694.23 and 7,294.95

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Solution

The fourth proportional to 10,657.91, 14,694.23 and 7,294.95 is: 10,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.91 : 14,694.23 = 7,294.95 : x
  2. Step 2: Convert to fraction form
    10,657.91/14,694.23 = 7,294.95/x
  3. Step 3: Cross multiply
    10,657.91x = 14,694.23 × 7,294.95
  4. Step 4: Simplify right side
    10,657.91x = 107,193,691.38
  5. Step 5: Solve for x
    x = 107,193,691.38/10,657.91
  6. Step 6: Final answer
    x = 10,057.66

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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.