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Finding the Fourth Proportional to 7,122.40, 10,679.46 and 3,422.98

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Solution

The fourth proportional to 7,122.40, 10,679.46 and 3,422.98 is: 5,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.40 : 10,679.46 = 3,422.98 : x
  2. Step 2: Convert to fraction form
    7,122.40/10,679.46 = 3,422.98/x
  3. Step 3: Cross multiply
    7,122.40x = 10,679.46 × 3,422.98
  4. Step 4: Simplify right side
    7,122.40x = 36,555,577.99
  5. Step 5: Solve for x
    x = 36,555,577.99/7,122.40
  6. Step 6: Final answer
    x = 5,132.48

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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.