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Finding the Fourth Proportional to 7,169.04, 10,747.13 and 2,785.46

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Solution

The fourth proportional to 7,169.04, 10,747.13 and 2,785.46 is: 4,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.04 : 10,747.13 = 2,785.46 : x
  2. Step 2: Convert to fraction form
    7,169.04/10,747.13 = 2,785.46/x
  3. Step 3: Cross multiply
    7,169.04x = 10,747.13 × 2,785.46
  4. Step 4: Simplify right side
    7,169.04x = 29,935,633.07
  5. Step 5: Solve for x
    x = 29,935,633.07/7,169.04
  6. Step 6: Final answer
    x = 4,175.68

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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.