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Finding the Fourth Proportional to 7,129.17, 10,693.80 and 2,198.90

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Solution

The fourth proportional to 7,129.17, 10,693.80 and 2,198.90 is: 3,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.17 : 10,693.80 = 2,198.90 : x
  2. Step 2: Convert to fraction form
    7,129.17/10,693.80 = 2,198.90/x
  3. Step 3: Cross multiply
    7,129.17x = 10,693.80 × 2,198.90
  4. Step 4: Simplify right side
    7,129.17x = 23,514,543.35
  5. Step 5: Solve for x
    x = 23,514,543.35/7,129.17
  6. Step 6: Final answer
    x = 3,298.36

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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.