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Finding the Fourth Proportional to 8,207.40, 12,296.70 and 5,125.80

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Solution

The fourth proportional to 8,207.40, 12,296.70 and 5,125.80 is: 7,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.40 : 12,296.70 = 5,125.80 : x
  2. Step 2: Convert to fraction form
    8,207.40/12,296.70 = 5,125.80/x
  3. Step 3: Cross multiply
    8,207.40x = 12,296.70 × 5,125.80
  4. Step 4: Simplify right side
    8,207.40x = 63,030,424.86
  5. Step 5: Solve for x
    x = 63,030,424.86/8,207.40
  6. Step 6: Final answer
    x = 7,679.71

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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.