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Finding the Fourth Proportional to 7,770.17, 10,718.84 and 5,082.97

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Solution

The fourth proportional to 7,770.17, 10,718.84 and 5,082.97 is: 7,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.17 : 10,718.84 = 5,082.97 : x
  2. Step 2: Convert to fraction form
    7,770.17/10,718.84 = 5,082.97/x
  3. Step 3: Cross multiply
    7,770.17x = 10,718.84 × 5,082.97
  4. Step 4: Simplify right side
    7,770.17x = 54,483,542.15
  5. Step 5: Solve for x
    x = 54,483,542.15/7,770.17
  6. Step 6: Final answer
    x = 7,011.89

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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.