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Finding the Fourth Proportional to 8,117.52, 12,178.38 and 2,274.18

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Solution

The fourth proportional to 8,117.52, 12,178.38 and 2,274.18 is: 3,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.52 : 12,178.38 = 2,274.18 : x
  2. Step 2: Convert to fraction form
    8,117.52/12,178.38 = 2,274.18/x
  3. Step 3: Cross multiply
    8,117.52x = 12,178.38 × 2,274.18
  4. Step 4: Simplify right side
    8,117.52x = 27,695,828.23
  5. Step 5: Solve for x
    x = 27,695,828.23/8,117.52
  6. Step 6: Final answer
    x = 3,411.86

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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.