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Finding the Fourth Proportional to 8,129.64, 12,193.08 and 2,284.88

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Solution

The fourth proportional to 8,129.64, 12,193.08 and 2,284.88 is: 3,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.64 : 12,193.08 = 2,284.88 : x
  2. Step 2: Convert to fraction form
    8,129.64/12,193.08 = 2,284.88/x
  3. Step 3: Cross multiply
    8,129.64x = 12,193.08 × 2,284.88
  4. Step 4: Simplify right side
    8,129.64x = 27,859,663.67
  5. Step 5: Solve for x
    x = 27,859,663.67/8,129.64
  6. Step 6: Final answer
    x = 3,426.92

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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.