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Finding the Fourth Proportional to 8,562.42, 12,841.08 and 3,631.98

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Solution

The fourth proportional to 8,562.42, 12,841.08 and 3,631.98 is: 5,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.42 : 12,841.08 = 3,631.98 : x
  2. Step 2: Convert to fraction form
    8,562.42/12,841.08 = 3,631.98/x
  3. Step 3: Cross multiply
    8,562.42x = 12,841.08 × 3,631.98
  4. Step 4: Simplify right side
    8,562.42x = 46,638,545.74
  5. Step 5: Solve for x
    x = 46,638,545.74/8,562.42
  6. Step 6: Final answer
    x = 5,446.89

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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.