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Finding the Fourth Proportional to 7,124.32, 10,686.17 and 2,194.46

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Solution

The fourth proportional to 7,124.32, 10,686.17 and 2,194.46 is: 3,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.32 : 10,686.17 = 2,194.46 : x
  2. Step 2: Convert to fraction form
    7,124.32/10,686.17 = 2,194.46/x
  3. Step 3: Cross multiply
    7,124.32x = 10,686.17 × 2,194.46
  4. Step 4: Simplify right side
    7,124.32x = 23,450,372.62
  5. Step 5: Solve for x
    x = 23,450,372.62/7,124.32
  6. Step 6: Final answer
    x = 3,291.59

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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.