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Finding the Fourth Proportional to 8,472.42, 12,713.61 and 3,541.68

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Solution

The fourth proportional to 8,472.42, 12,713.61 and 3,541.68 is: 5,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.42 : 12,713.61 = 3,541.68 : x
  2. Step 2: Convert to fraction form
    8,472.42/12,713.61 = 3,541.68/x
  3. Step 3: Cross multiply
    8,472.42x = 12,713.61 × 3,541.68
  4. Step 4: Simplify right side
    8,472.42x = 45,027,538.26
  5. Step 5: Solve for x
    x = 45,027,538.26/8,472.42
  6. Step 6: Final answer
    x = 5,314.60

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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.