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Finding the Fourth Proportional to 12,541.41, 17,306.91 and 6,876

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Solution

The fourth proportional to 12,541.41, 17,306.91 and 6,876 is: 9,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.41 : 17,306.91 = 6,876 : x
  2. Step 2: Convert to fraction form
    12,541.41/17,306.91 = 6,876/x
  3. Step 3: Cross multiply
    12,541.41x = 17,306.91 × 6,876
  4. Step 4: Simplify right side
    12,541.41x = 119,002,313.16
  5. Step 5: Solve for x
    x = 119,002,313.16/12,541.41
  6. Step 6: Final answer
    x = 9,488.75

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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.