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Finding the Fourth Proportional to 8,489.60, 12,729.78 and 2,942.50

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Solution

The fourth proportional to 8,489.60, 12,729.78 and 2,942.50 is: 4,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.60 : 12,729.78 = 2,942.50 : x
  2. Step 2: Convert to fraction form
    8,489.60/12,729.78 = 2,942.50/x
  3. Step 3: Cross multiply
    8,489.60x = 12,729.78 × 2,942.50
  4. Step 4: Simplify right side
    8,489.60x = 37,457,377.65
  5. Step 5: Solve for x
    x = 37,457,377.65/8,489.60
  6. Step 6: Final answer
    x = 4,412.15

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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.