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Finding the Fourth Proportional to 7,069.32, 9,751.35 and 5,082.57

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Solution

The fourth proportional to 7,069.32, 9,751.35 and 5,082.57 is: 7,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.32 : 9,751.35 = 5,082.57 : x
  2. Step 2: Convert to fraction form
    7,069.32/9,751.35 = 5,082.57/x
  3. Step 3: Cross multiply
    7,069.32x = 9,751.35 × 5,082.57
  4. Step 4: Simplify right side
    7,069.32x = 49,561,918.97
  5. Step 5: Solve for x
    x = 49,561,918.97/7,069.32
  6. Step 6: Final answer
    x = 7,010.85

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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.