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Finding the Fourth Proportional to 7,029.66, 10,542.94 and 2,098.66

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Solution

The fourth proportional to 7,029.66, 10,542.94 and 2,098.66 is: 3,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.66 : 10,542.94 = 2,098.66 : x
  2. Step 2: Convert to fraction form
    7,029.66/10,542.94 = 2,098.66/x
  3. Step 3: Cross multiply
    7,029.66x = 10,542.94 × 2,098.66
  4. Step 4: Simplify right side
    7,029.66x = 22,126,046.43
  5. Step 5: Solve for x
    x = 22,126,046.43/7,029.66
  6. Step 6: Final answer
    x = 3,147.53

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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.