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Finding the Fourth Proportional to 7,833.56, 11,751.20 and 2,569.04

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Solution

The fourth proportional to 7,833.56, 11,751.20 and 2,569.04 is: 3,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.56 : 11,751.20 = 2,569.04 : x
  2. Step 2: Convert to fraction form
    7,833.56/11,751.20 = 2,569.04/x
  3. Step 3: Cross multiply
    7,833.56x = 11,751.20 × 2,569.04
  4. Step 4: Simplify right side
    7,833.56x = 30,189,308.97
  5. Step 5: Solve for x
    x = 30,189,308.97/7,833.56
  6. Step 6: Final answer
    x = 3,853.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.