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Finding the Fourth Proportional to 7,250.21, 10,871.88 and 2,809.95

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Solution

The fourth proportional to 7,250.21, 10,871.88 and 2,809.95 is: 4,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.21 : 10,871.88 = 2,809.95 : x
  2. Step 2: Convert to fraction form
    7,250.21/10,871.88 = 2,809.95/x
  3. Step 3: Cross multiply
    7,250.21x = 10,871.88 × 2,809.95
  4. Step 4: Simplify right side
    7,250.21x = 30,549,439.21
  5. Step 5: Solve for x
    x = 30,549,439.21/7,250.21
  6. Step 6: Final answer
    x = 4,213.59

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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.