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Finding the Fourth Proportional to 6,772.50, 10,158.68 and 5,139.08

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Solution

The fourth proportional to 6,772.50, 10,158.68 and 5,139.08 is: 7,708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.50 : 10,158.68 = 5,139.08 : x
  2. Step 2: Convert to fraction form
    6,772.50/10,158.68 = 5,139.08/x
  3. Step 3: Cross multiply
    6,772.50x = 10,158.68 × 5,139.08
  4. Step 4: Simplify right side
    6,772.50x = 52,206,269.21
  5. Step 5: Solve for x
    x = 52,206,269.21/6,772.50
  6. Step 6: Final answer
    x = 7,708.57

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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.