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Finding the Fourth Proportional to 8,177.60, 12,246.90 and 6,875.12

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Solution

The fourth proportional to 8,177.60, 12,246.90 and 6,875.12 is: 10,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.60 : 12,246.90 = 6,875.12 : x
  2. Step 2: Convert to fraction form
    8,177.60/12,246.90 = 6,875.12/x
  3. Step 3: Cross multiply
    8,177.60x = 12,246.90 × 6,875.12
  4. Step 4: Simplify right side
    8,177.60x = 84,198,907.13
  5. Step 5: Solve for x
    x = 84,198,907.13/8,177.60
  6. Step 6: Final answer
    x = 10,296.29

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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.