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Finding the Fourth Proportional to 7,249.32, 10,871.70 and 4,471.83

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Solution

The fourth proportional to 7,249.32, 10,871.70 and 4,471.83 is: 6,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.32 : 10,871.70 = 4,471.83 : x
  2. Step 2: Convert to fraction form
    7,249.32/10,871.70 = 4,471.83/x
  3. Step 3: Cross multiply
    7,249.32x = 10,871.70 × 4,471.83
  4. Step 4: Simplify right side
    7,249.32x = 48,616,394.21
  5. Step 5: Solve for x
    x = 48,616,394.21/7,249.32
  6. Step 6: Final answer
    x = 6,706.34

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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.