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Finding the Fourth Proportional to 7,305.90, 10,082.25 and 4,162.02

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Solution

The fourth proportional to 7,305.90, 10,082.25 and 4,162.02 is: 5,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.90 : 10,082.25 = 4,162.02 : x
  2. Step 2: Convert to fraction form
    7,305.90/10,082.25 = 4,162.02/x
  3. Step 3: Cross multiply
    7,305.90x = 10,082.25 × 4,162.02
  4. Step 4: Simplify right side
    7,305.90x = 41,962,526.15
  5. Step 5: Solve for x
    x = 41,962,526.15/7,305.90
  6. Step 6: Final answer
    x = 5,743.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.