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Finding the Fourth Proportional to 7,833.10, 11,751.57 and 2,568.40

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Solution

The fourth proportional to 7,833.10, 11,751.57 and 2,568.40 is: 3,853.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.10 : 11,751.57 = 2,568.40 : x
  2. Step 2: Convert to fraction form
    7,833.10/11,751.57 = 2,568.40/x
  3. Step 3: Cross multiply
    7,833.10x = 11,751.57 × 2,568.40
  4. Step 4: Simplify right side
    7,833.10x = 30,182,673.63
  5. Step 5: Solve for x
    x = 30,182,673.63/7,833.10
  6. Step 6: Final answer
    x = 3,853.22

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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.