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Finding the Fourth Proportional to 7,129.48, 10,695.42 and 2,198.98

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Solution

The fourth proportional to 7,129.48, 10,695.42 and 2,198.98 is: 3,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.48 : 10,695.42 = 2,198.98 : x
  2. Step 2: Convert to fraction form
    7,129.48/10,695.42 = 2,198.98/x
  3. Step 3: Cross multiply
    7,129.48x = 10,695.42 × 2,198.98
  4. Step 4: Simplify right side
    7,129.48x = 23,519,014.67
  5. Step 5: Solve for x
    x = 23,519,014.67/7,129.48
  6. Step 6: Final answer
    x = 3,298.84

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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.