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Finding the Fourth Proportional to 10,701.41, 16,049.41 and 5,153.31

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Solution

The fourth proportional to 10,701.41, 16,049.41 and 5,153.31 is: 7,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.41 : 16,049.41 = 5,153.31 : x
  2. Step 2: Convert to fraction form
    10,701.41/16,049.41 = 5,153.31/x
  3. Step 3: Cross multiply
    10,701.41x = 16,049.41 × 5,153.31
  4. Step 4: Simplify right side
    10,701.41x = 82,707,572.16
  5. Step 5: Solve for x
    x = 82,707,572.16/10,701.41
  6. Step 6: Final answer
    x = 7,728.66

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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.