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Finding the Fourth Proportional to 7,178.32, 10,770.24 and 2,498.83

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Solution

The fourth proportional to 7,178.32, 10,770.24 and 2,498.83 is: 3,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.32 : 10,770.24 = 2,498.83 : x
  2. Step 2: Convert to fraction form
    7,178.32/10,770.24 = 2,498.83/x
  3. Step 3: Cross multiply
    7,178.32x = 10,770.24 × 2,498.83
  4. Step 4: Simplify right side
    7,178.32x = 26,912,998.82
  5. Step 5: Solve for x
    x = 26,912,998.82/7,178.32
  6. Step 6: Final answer
    x = 3,749.21

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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.