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Finding the Fourth Proportional to 5,711.10, 8,568.21 and 5,711.10

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Solution

The fourth proportional to 5,711.10, 8,568.21 and 5,711.10 is: 8,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.10 : 8,568.21 = 5,711.10 : x
  2. Step 2: Convert to fraction form
    5,711.10/8,568.21 = 5,711.10/x
  3. Step 3: Cross multiply
    5,711.10x = 8,568.21 × 5,711.10
  4. Step 4: Simplify right side
    5,711.10x = 48,933,904.13
  5. Step 5: Solve for x
    x = 48,933,904.13/5,711.10
  6. Step 6: Final answer
    x = 8,568.21

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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.