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Finding the Fourth Proportional to 6,709.17, 10,049.16 and 3,239.13

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Solution

The fourth proportional to 6,709.17, 10,049.16 and 3,239.13 is: 4,851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.17 : 10,049.16 = 3,239.13 : x
  2. Step 2: Convert to fraction form
    6,709.17/10,049.16 = 3,239.13/x
  3. Step 3: Cross multiply
    6,709.17x = 10,049.16 × 3,239.13
  4. Step 4: Simplify right side
    6,709.17x = 32,550,535.63
  5. Step 5: Solve for x
    x = 32,550,535.63/6,709.17
  6. Step 6: Final answer
    x = 4,851.65

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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.