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Finding the Fourth Proportional to 7,710.52, 10,645.08 and 5,062.56

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Solution

The fourth proportional to 7,710.52, 10,645.08 and 5,062.56 is: 6,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.52 : 10,645.08 = 5,062.56 : x
  2. Step 2: Convert to fraction form
    7,710.52/10,645.08 = 5,062.56/x
  3. Step 3: Cross multiply
    7,710.52x = 10,645.08 × 5,062.56
  4. Step 4: Simplify right side
    7,710.52x = 53,891,356.20
  5. Step 5: Solve for x
    x = 53,891,356.20/7,710.52
  6. Step 6: Final answer
    x = 6,989.33

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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.