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Finding the Fourth Proportional to 8,429.61, 11,613.87 and 5,874.96

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Solution

The fourth proportional to 8,429.61, 11,613.87 and 5,874.96 is: 8,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.61 : 11,613.87 = 5,874.96 : x
  2. Step 2: Convert to fraction form
    8,429.61/11,613.87 = 5,874.96/x
  3. Step 3: Cross multiply
    8,429.61x = 11,613.87 × 5,874.96
  4. Step 4: Simplify right side
    8,429.61x = 68,231,021.70
  5. Step 5: Solve for x
    x = 68,231,021.70/8,429.61
  6. Step 6: Final answer
    x = 8,094.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.