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Finding the Fourth Proportional to 6,713.31, 10,065.99 and 2,031.90

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Solution

The fourth proportional to 6,713.31, 10,065.99 and 2,031.90 is: 3,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.31 : 10,065.99 = 2,031.90 : x
  2. Step 2: Convert to fraction form
    6,713.31/10,065.99 = 2,031.90/x
  3. Step 3: Cross multiply
    6,713.31x = 10,065.99 × 2,031.90
  4. Step 4: Simplify right side
    6,713.31x = 20,453,085.08
  5. Step 5: Solve for x
    x = 20,453,085.08/6,713.31
  6. Step 6: Final answer
    x = 3,046.65

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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.