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Finding the Fourth Proportional to 6,066.78, 9,062.49 and 5,082.63

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Solution

The fourth proportional to 6,066.78, 9,062.49 and 5,082.63 is: 7,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,066.78 : 9,062.49 = 5,082.63 : x
  2. Step 2: Convert to fraction form
    6,066.78/9,062.49 = 5,082.63/x
  3. Step 3: Cross multiply
    6,066.78x = 9,062.49 × 5,082.63
  4. Step 4: Simplify right side
    6,066.78x = 46,061,283.55
  5. Step 5: Solve for x
    x = 46,061,283.55/6,066.78
  6. Step 6: Final answer
    x = 7,592.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.