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Finding the Fourth Proportional to 7,082.10, 9,752.49 and 6,335.82

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Solution

The fourth proportional to 7,082.10, 9,752.49 and 6,335.82 is: 8,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.10 : 9,752.49 = 6,335.82 : x
  2. Step 2: Convert to fraction form
    7,082.10/9,752.49 = 6,335.82/x
  3. Step 3: Cross multiply
    7,082.10x = 9,752.49 × 6,335.82
  4. Step 4: Simplify right side
    7,082.10x = 61,790,021.19
  5. Step 5: Solve for x
    x = 61,790,021.19/7,082.10
  6. Step 6: Final answer
    x = 8,724.82

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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.