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Finding the Fourth Proportional to 8,472.56, 12,705.68 and 3,542.54

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Solution

The fourth proportional to 8,472.56, 12,705.68 and 3,542.54 is: 5,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.56 : 12,705.68 = 3,542.54 : x
  2. Step 2: Convert to fraction form
    8,472.56/12,705.68 = 3,542.54/x
  3. Step 3: Cross multiply
    8,472.56x = 12,705.68 × 3,542.54
  4. Step 4: Simplify right side
    8,472.56x = 45,010,379.63
  5. Step 5: Solve for x
    x = 45,010,379.63/8,472.56
  6. Step 6: Final answer
    x = 5,312.49

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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.