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Finding the Fourth Proportional to 8,427.92, 12,641.78 and 6,580.56

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Solution

The fourth proportional to 8,427.92, 12,641.78 and 6,580.56 is: 9,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.92 : 12,641.78 = 6,580.56 : x
  2. Step 2: Convert to fraction form
    8,427.92/12,641.78 = 6,580.56/x
  3. Step 3: Cross multiply
    8,427.92x = 12,641.78 × 6,580.56
  4. Step 4: Simplify right side
    8,427.92x = 83,189,895.69
  5. Step 5: Solve for x
    x = 83,189,895.69/8,427.92
  6. Step 6: Final answer
    x = 9,870.75

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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.