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Finding the Fourth Proportional to 8,129.34, 12,195.05 and 2,580.71

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Solution

The fourth proportional to 8,129.34, 12,195.05 and 2,580.71 is: 3,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.34 : 12,195.05 = 2,580.71 : x
  2. Step 2: Convert to fraction form
    8,129.34/12,195.05 = 2,580.71/x
  3. Step 3: Cross multiply
    8,129.34x = 12,195.05 × 2,580.71
  4. Step 4: Simplify right side
    8,129.34x = 31,471,813.61
  5. Step 5: Solve for x
    x = 31,471,813.61/8,129.34
  6. Step 6: Final answer
    x = 3,871.39

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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.