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Finding the Fourth Proportional to 7,129.71, 10,695.51 and 2,198.70

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Solution

The fourth proportional to 7,129.71, 10,695.51 and 2,198.70 is: 3,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.71 : 10,695.51 = 2,198.70 : x
  2. Step 2: Convert to fraction form
    7,129.71/10,695.51 = 2,198.70/x
  3. Step 3: Cross multiply
    7,129.71x = 10,695.51 × 2,198.70
  4. Step 4: Simplify right side
    7,129.71x = 23,516,217.84
  5. Step 5: Solve for x
    x = 23,516,217.84/7,129.71
  6. Step 6: Final answer
    x = 3,298.34

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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.