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Finding the Fourth Proportional to 7,833.76, 11,751.11 and 2,569.34

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Solution

The fourth proportional to 7,833.76, 11,751.11 and 2,569.34 is: 3,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.76 : 11,751.11 = 2,569.34 : x
  2. Step 2: Convert to fraction form
    7,833.76/11,751.11 = 2,569.34/x
  3. Step 3: Cross multiply
    7,833.76x = 11,751.11 × 2,569.34
  4. Step 4: Simplify right side
    7,833.76x = 30,192,596.97
  5. Step 5: Solve for x
    x = 30,192,596.97/7,833.76
  6. Step 6: Final answer
    x = 3,854.16

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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.