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Finding the Fourth Proportional to 7,144.68, 9,859.72 and 4,311.50

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Solution

The fourth proportional to 7,144.68, 9,859.72 and 4,311.50 is: 5,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.68 : 9,859.72 = 4,311.50 : x
  2. Step 2: Convert to fraction form
    7,144.68/9,859.72 = 4,311.50/x
  3. Step 3: Cross multiply
    7,144.68x = 9,859.72 × 4,311.50
  4. Step 4: Simplify right side
    7,144.68x = 42,510,182.78
  5. Step 5: Solve for x
    x = 42,510,182.78/7,144.68
  6. Step 6: Final answer
    x = 5,949.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.