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Finding the Fourth Proportional to 10,251.91, 14,149.94 and 6,713.07

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Solution

The fourth proportional to 10,251.91, 14,149.94 and 6,713.07 is: 9,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.91 : 14,149.94 = 6,713.07 : x
  2. Step 2: Convert to fraction form
    10,251.91/14,149.94 = 6,713.07/x
  3. Step 3: Cross multiply
    10,251.91x = 14,149.94 × 6,713.07
  4. Step 4: Simplify right side
    10,251.91x = 94,989,433.40
  5. Step 5: Solve for x
    x = 94,989,433.40/10,251.91
  6. Step 6: Final answer
    x = 9,265.54

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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.