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Finding the Fourth Proportional to 10,358.92, 14,294.88 and 5,882.66

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Solution

The fourth proportional to 10,358.92, 14,294.88 and 5,882.66 is: 8,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.92 : 14,294.88 = 5,882.66 : x
  2. Step 2: Convert to fraction form
    10,358.92/14,294.88 = 5,882.66/x
  3. Step 3: Cross multiply
    10,358.92x = 14,294.88 × 5,882.66
  4. Step 4: Simplify right side
    10,358.92x = 84,091,900.91
  5. Step 5: Solve for x
    x = 84,091,900.91/10,358.92
  6. Step 6: Final answer
    x = 8,117.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.