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Finding the Fourth Proportional to 8,117.56, 12,176.97 and 2,274.22

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Solution

The fourth proportional to 8,117.56, 12,176.97 and 2,274.22 is: 3,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.56 : 12,176.97 = 2,274.22 : x
  2. Step 2: Convert to fraction form
    8,117.56/12,176.97 = 2,274.22/x
  3. Step 3: Cross multiply
    8,117.56x = 12,176.97 × 2,274.22
  4. Step 4: Simplify right side
    8,117.56x = 27,693,108.71
  5. Step 5: Solve for x
    x = 27,693,108.71/8,117.56
  6. Step 6: Final answer
    x = 3,411.51

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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.