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Finding the Fourth Proportional to 10,541.50, 14,549.69 and 6,067.85

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Solution

The fourth proportional to 10,541.50, 14,549.69 and 6,067.85 is: 8,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.50 : 14,549.69 = 6,067.85 : x
  2. Step 2: Convert to fraction form
    10,541.50/14,549.69 = 6,067.85/x
  3. Step 3: Cross multiply
    10,541.50x = 14,549.69 × 6,067.85
  4. Step 4: Simplify right side
    10,541.50x = 88,285,278.89
  5. Step 5: Solve for x
    x = 88,285,278.89/10,541.50
  6. Step 6: Final answer
    x = 8,375.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.