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Finding the Fourth Proportional to 8,614.68, 12,922.74 and 3,071.04

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Solution

The fourth proportional to 8,614.68, 12,922.74 and 3,071.04 is: 4,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.68 : 12,922.74 = 3,071.04 : x
  2. Step 2: Convert to fraction form
    8,614.68/12,922.74 = 3,071.04/x
  3. Step 3: Cross multiply
    8,614.68x = 12,922.74 × 3,071.04
  4. Step 4: Simplify right side
    8,614.68x = 39,686,251.45
  5. Step 5: Solve for x
    x = 39,686,251.45/8,614.68
  6. Step 6: Final answer
    x = 4,606.82

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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.