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Finding the Fourth Proportional to 8,007, 12,012.42 and 2,535

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Solution

The fourth proportional to 8,007, 12,012.42 and 2,535 is: 3,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007 : 12,012.42 = 2,535 : x
  2. Step 2: Convert to fraction form
    8,007/12,012.42 = 2,535/x
  3. Step 3: Cross multiply
    8,007x = 12,012.42 × 2,535
  4. Step 4: Simplify right side
    8,007x = 30,451,484.70
  5. Step 5: Solve for x
    x = 30,451,484.70/8,007
  6. Step 6: Final answer
    x = 3,803.11

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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.