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Finding the Fourth Proportional to 8,600.50, 12,900.75 and 5,678.13

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Solution

The fourth proportional to 8,600.50, 12,900.75 and 5,678.13 is: 8,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,600.50 : 12,900.75 = 5,678.13 : x
  2. Step 2: Convert to fraction form
    8,600.50/12,900.75 = 5,678.13/x
  3. Step 3: Cross multiply
    8,600.50x = 12,900.75 × 5,678.13
  4. Step 4: Simplify right side
    8,600.50x = 73,252,135.60
  5. Step 5: Solve for x
    x = 73,252,135.60/8,600.50
  6. Step 6: Final answer
    x = 8,517.20

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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.