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Finding the Fourth Proportional to 10,541.92, 14,546.98 and 5,826.19

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Solution

The fourth proportional to 10,541.92, 14,546.98 and 5,826.19 is: 8,039.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.92 : 14,546.98 = 5,826.19 : x
  2. Step 2: Convert to fraction form
    10,541.92/14,546.98 = 5,826.19/x
  3. Step 3: Cross multiply
    10,541.92x = 14,546.98 × 5,826.19
  4. Step 4: Simplify right side
    10,541.92x = 84,753,469.41
  5. Step 5: Solve for x
    x = 84,753,469.41/10,541.92
  6. Step 6: Final answer
    x = 8,039.66

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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.