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Finding the Fourth Proportional to 8,486.04, 12,731.28 and 2,642.76

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Solution

The fourth proportional to 8,486.04, 12,731.28 and 2,642.76 is: 3,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.04 : 12,731.28 = 2,642.76 : x
  2. Step 2: Convert to fraction form
    8,486.04/12,731.28 = 2,642.76/x
  3. Step 3: Cross multiply
    8,486.04x = 12,731.28 × 2,642.76
  4. Step 4: Simplify right side
    8,486.04x = 33,645,717.53
  5. Step 5: Solve for x
    x = 33,645,717.53/8,486.04
  6. Step 6: Final answer
    x = 3,964.83

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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.