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Finding the Fourth Proportional to 8,008.92, 12,005.02 and 2,742.38

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Solution

The fourth proportional to 8,008.92, 12,005.02 and 2,742.38 is: 4,110.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008.92 : 12,005.02 = 2,742.38 : x
  2. Step 2: Convert to fraction form
    8,008.92/12,005.02 = 2,742.38/x
  3. Step 3: Cross multiply
    8,008.92x = 12,005.02 × 2,742.38
  4. Step 4: Simplify right side
    8,008.92x = 32,922,253.01
  5. Step 5: Solve for x
    x = 32,922,253.01/8,008.92
  6. Step 6: Final answer
    x = 4,110.70

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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.