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Finding the Fourth Proportional to 6,806.66, 10,217.15 and 6,031.63

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Solution

The fourth proportional to 6,806.66, 10,217.15 and 6,031.63 is: 9,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.66 : 10,217.15 = 6,031.63 : x
  2. Step 2: Convert to fraction form
    6,806.66/10,217.15 = 6,031.63/x
  3. Step 3: Cross multiply
    6,806.66x = 10,217.15 × 6,031.63
  4. Step 4: Simplify right side
    6,806.66x = 61,625,987.21
  5. Step 5: Solve for x
    x = 61,625,987.21/6,806.66
  6. Step 6: Final answer
    x = 9,053.78

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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.