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Finding the Fourth Proportional to 10,062.72, 13,887.15 and 5,814.55

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Solution

The fourth proportional to 10,062.72, 13,887.15 and 5,814.55 is: 8,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.72 : 13,887.15 = 5,814.55 : x
  2. Step 2: Convert to fraction form
    10,062.72/13,887.15 = 5,814.55/x
  3. Step 3: Cross multiply
    10,062.72x = 13,887.15 × 5,814.55
  4. Step 4: Simplify right side
    10,062.72x = 80,747,528.03
  5. Step 5: Solve for x
    x = 80,747,528.03/10,062.72
  6. Step 6: Final answer
    x = 8,024.42

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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.