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Finding the Fourth Proportional to 8,404.70, 12,593.16 and 5,107.80

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Solution

The fourth proportional to 8,404.70, 12,593.16 and 5,107.80 is: 7,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.70 : 12,593.16 = 5,107.80 : x
  2. Step 2: Convert to fraction form
    8,404.70/12,593.16 = 5,107.80/x
  3. Step 3: Cross multiply
    8,404.70x = 12,593.16 × 5,107.80
  4. Step 4: Simplify right side
    8,404.70x = 64,323,342.65
  5. Step 5: Solve for x
    x = 64,323,342.65/8,404.70
  6. Step 6: Final answer
    x = 7,653.26

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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.