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Finding the Fourth Proportional to 7,232.80, 10,849 and 2,302.74

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Solution

The fourth proportional to 7,232.80, 10,849 and 2,302.74 is: 3,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.80 : 10,849 = 2,302.74 : x
  2. Step 2: Convert to fraction form
    7,232.80/10,849 = 2,302.74/x
  3. Step 3: Cross multiply
    7,232.80x = 10,849 × 2,302.74
  4. Step 4: Simplify right side
    7,232.80x = 24,982,426.26
  5. Step 5: Solve for x
    x = 24,982,426.26/7,232.80
  6. Step 6: Final answer
    x = 3,454.05

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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.