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Finding the Fourth Proportional to 8,166.84, 12,255.71 and 2,972.71

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Solution

The fourth proportional to 8,166.84, 12,255.71 and 2,972.71 is: 4,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.84 : 12,255.71 = 2,972.71 : x
  2. Step 2: Convert to fraction form
    8,166.84/12,255.71 = 2,972.71/x
  3. Step 3: Cross multiply
    8,166.84x = 12,255.71 × 2,972.71
  4. Step 4: Simplify right side
    8,166.84x = 36,432,672.13
  5. Step 5: Solve for x
    x = 36,432,672.13/8,166.84
  6. Step 6: Final answer
    x = 4,461.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.