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Finding the Fourth Proportional to 10,229.80, 15,348.30 and 3,656.20

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Solution

The fourth proportional to 10,229.80, 15,348.30 and 3,656.20 is: 5,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.80 : 15,348.30 = 3,656.20 : x
  2. Step 2: Convert to fraction form
    10,229.80/15,348.30 = 3,656.20/x
  3. Step 3: Cross multiply
    10,229.80x = 15,348.30 × 3,656.20
  4. Step 4: Simplify right side
    10,229.80x = 56,116,454.46
  5. Step 5: Solve for x
    x = 56,116,454.46/10,229.80
  6. Step 6: Final answer
    x = 5,485.59

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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.