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Finding the Fourth Proportional to 10,967.74, 16,454.65 and 3,572.64

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Solution

The fourth proportional to 10,967.74, 16,454.65 and 3,572.64 is: 5,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.74 : 16,454.65 = 3,572.64 : x
  2. Step 2: Convert to fraction form
    10,967.74/16,454.65 = 3,572.64/x
  3. Step 3: Cross multiply
    10,967.74x = 16,454.65 × 3,572.64
  4. Step 4: Simplify right side
    10,967.74x = 58,786,540.78
  5. Step 5: Solve for x
    x = 58,786,540.78/10,967.74
  6. Step 6: Final answer
    x = 5,359.95

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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.