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Finding the Fourth Proportional to 7,314.16, 10,962 and 3,149.20

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Solution

The fourth proportional to 7,314.16, 10,962 and 3,149.20 is: 4,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.16 : 10,962 = 3,149.20 : x
  2. Step 2: Convert to fraction form
    7,314.16/10,962 = 3,149.20/x
  3. Step 3: Cross multiply
    7,314.16x = 10,962 × 3,149.20
  4. Step 4: Simplify right side
    7,314.16x = 34,521,530.40
  5. Step 5: Solve for x
    x = 34,521,530.40/7,314.16
  6. Step 6: Final answer
    x = 4,719.82

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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.