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Finding the Fourth Proportional to 6,952.75, 10,432.87 and 5,053.28

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Solution

The fourth proportional to 6,952.75, 10,432.87 and 5,053.28 is: 7,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.75 : 10,432.87 = 5,053.28 : x
  2. Step 2: Convert to fraction form
    6,952.75/10,432.87 = 5,053.28/x
  3. Step 3: Cross multiply
    6,952.75x = 10,432.87 × 5,053.28
  4. Step 4: Simplify right side
    6,952.75x = 52,720,148.52
  5. Step 5: Solve for x
    x = 52,720,148.52/6,952.75
  6. Step 6: Final answer
    x = 7,582.64

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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.