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Finding the Fourth Proportional to 8,439.74, 12,661.29 and 2,596.13

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Solution

The fourth proportional to 8,439.74, 12,661.29 and 2,596.13 is: 3,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.74 : 12,661.29 = 2,596.13 : x
  2. Step 2: Convert to fraction form
    8,439.74/12,661.29 = 2,596.13/x
  3. Step 3: Cross multiply
    8,439.74x = 12,661.29 × 2,596.13
  4. Step 4: Simplify right side
    8,439.74x = 32,870,291.50
  5. Step 5: Solve for x
    x = 32,870,291.50/8,439.74
  6. Step 6: Final answer
    x = 3,894.71

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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.