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Finding the Fourth Proportional to 10,658.28, 15,978.26 and 5,974.46

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Solution

The fourth proportional to 10,658.28, 15,978.26 and 5,974.46 is: 8,956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.28 : 15,978.26 = 5,974.46 : x
  2. Step 2: Convert to fraction form
    10,658.28/15,978.26 = 5,974.46/x
  3. Step 3: Cross multiply
    10,658.28x = 15,978.26 × 5,974.46
  4. Step 4: Simplify right side
    10,658.28x = 95,461,470.20
  5. Step 5: Solve for x
    x = 95,461,470.20/10,658.28
  6. Step 6: Final answer
    x = 8,956.55

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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.