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Finding the Fourth Proportional to 7,833.97, 11,751.07 and 2,569.53

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Solution

The fourth proportional to 7,833.97, 11,751.07 and 2,569.53 is: 3,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.97 : 11,751.07 = 2,569.53 : x
  2. Step 2: Convert to fraction form
    7,833.97/11,751.07 = 2,569.53/x
  3. Step 3: Cross multiply
    7,833.97x = 11,751.07 × 2,569.53
  4. Step 4: Simplify right side
    7,833.97x = 30,194,726.90
  5. Step 5: Solve for x
    x = 30,194,726.90/7,833.97
  6. Step 6: Final answer
    x = 3,854.33

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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.