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Finding the Fourth Proportional to 7,532.93, 10,390.28 and 5,170.97

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Solution

The fourth proportional to 7,532.93, 10,390.28 and 5,170.97 is: 7,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.93 : 10,390.28 = 5,170.97 : x
  2. Step 2: Convert to fraction form
    7,532.93/10,390.28 = 5,170.97/x
  3. Step 3: Cross multiply
    7,532.93x = 10,390.28 × 5,170.97
  4. Step 4: Simplify right side
    7,532.93x = 53,727,826.29
  5. Step 5: Solve for x
    x = 53,727,826.29/7,532.93
  6. Step 6: Final answer
    x = 7,132.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.