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Finding the Fourth Proportional to 8,427.72, 12,641.59 and 2,881.12

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Solution

The fourth proportional to 8,427.72, 12,641.59 and 2,881.12 is: 4,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.72 : 12,641.59 = 2,881.12 : x
  2. Step 2: Convert to fraction form
    8,427.72/12,641.59 = 2,881.12/x
  3. Step 3: Cross multiply
    8,427.72x = 12,641.59 × 2,881.12
  4. Step 4: Simplify right side
    8,427.72x = 36,421,937.78
  5. Step 5: Solve for x
    x = 36,421,937.78/8,427.72
  6. Step 6: Final answer
    x = 4,321.68

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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.