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Finding the Fourth Proportional to 8,126.58, 12,189.42 and 5,007.18

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Solution

The fourth proportional to 8,126.58, 12,189.42 and 5,007.18 is: 7,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.58 : 12,189.42 = 5,007.18 : x
  2. Step 2: Convert to fraction form
    8,126.58/12,189.42 = 5,007.18/x
  3. Step 3: Cross multiply
    8,126.58x = 12,189.42 × 5,007.18
  4. Step 4: Simplify right side
    8,126.58x = 61,034,620.04
  5. Step 5: Solve for x
    x = 61,034,620.04/8,126.58
  6. Step 6: Final answer
    x = 7,510.49

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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.