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Finding the Fourth Proportional to 8,475.62, 12,713.44 and 3,542.56

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Solution

The fourth proportional to 8,475.62, 12,713.44 and 3,542.56 is: 5,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.62 : 12,713.44 = 3,542.56 : x
  2. Step 2: Convert to fraction form
    8,475.62/12,713.44 = 3,542.56/x
  3. Step 3: Cross multiply
    8,475.62x = 12,713.44 × 3,542.56
  4. Step 4: Simplify right side
    8,475.62x = 45,038,124.01
  5. Step 5: Solve for x
    x = 45,038,124.01/8,475.62
  6. Step 6: Final answer
    x = 5,313.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.