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Finding the Fourth Proportional to 8,292.24, 12,439.80 and 2,745

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Solution

The fourth proportional to 8,292.24, 12,439.80 and 2,745 is: 4,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.24 : 12,439.80 = 2,745 : x
  2. Step 2: Convert to fraction form
    8,292.24/12,439.80 = 2,745/x
  3. Step 3: Cross multiply
    8,292.24x = 12,439.80 × 2,745
  4. Step 4: Simplify right side
    8,292.24x = 34,147,251
  5. Step 5: Solve for x
    x = 34,147,251/8,292.24
  6. Step 6: Final answer
    x = 4,117.98

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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.