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Finding the Fourth Proportional to 6,829.47, 10,239.03 and 2,672.46

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Solution

The fourth proportional to 6,829.47, 10,239.03 and 2,672.46 is: 4,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.47 : 10,239.03 = 2,672.46 : x
  2. Step 2: Convert to fraction form
    6,829.47/10,239.03 = 2,672.46/x
  3. Step 3: Cross multiply
    6,829.47x = 10,239.03 × 2,672.46
  4. Step 4: Simplify right side
    6,829.47x = 27,363,398.11
  5. Step 5: Solve for x
    x = 27,363,398.11/6,829.47
  6. Step 6: Final answer
    x = 4,006.66

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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.