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Finding the Fourth Proportional to 7,617.50, 11,424.18 and 2,686.50

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Solution

The fourth proportional to 7,617.50, 11,424.18 and 2,686.50 is: 4,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.50 : 11,424.18 = 2,686.50 : x
  2. Step 2: Convert to fraction form
    7,617.50/11,424.18 = 2,686.50/x
  3. Step 3: Cross multiply
    7,617.50x = 11,424.18 × 2,686.50
  4. Step 4: Simplify right side
    7,617.50x = 30,691,059.57
  5. Step 5: Solve for x
    x = 30,691,059.57/7,617.50
  6. Step 6: Final answer
    x = 4,029.02

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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.