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Finding the Fourth Proportional to 6,872.77, 10,294.54 and 4,652.97

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Solution

The fourth proportional to 6,872.77, 10,294.54 and 4,652.97 is: 6,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.77 : 10,294.54 = 4,652.97 : x
  2. Step 2: Convert to fraction form
    6,872.77/10,294.54 = 4,652.97/x
  3. Step 3: Cross multiply
    6,872.77x = 10,294.54 × 4,652.97
  4. Step 4: Simplify right side
    6,872.77x = 47,900,185.78
  5. Step 5: Solve for x
    x = 47,900,185.78/6,872.77
  6. Step 6: Final answer
    x = 6,969.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.