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Finding the Fourth Proportional to 8,280.57, 12,406.41 and 6,902.76

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Solution

The fourth proportional to 8,280.57, 12,406.41 and 6,902.76 is: 10,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,280.57 : 12,406.41 = 6,902.76 : x
  2. Step 2: Convert to fraction form
    8,280.57/12,406.41 = 6,902.76/x
  3. Step 3: Cross multiply
    8,280.57x = 12,406.41 × 6,902.76
  4. Step 4: Simplify right side
    8,280.57x = 85,638,470.69
  5. Step 5: Solve for x
    x = 85,638,470.69/8,280.57
  6. Step 6: Final answer
    x = 10,342.10

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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.