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Finding the Fourth Proportional to 10,827.32, 16,266.92 and 6,939.32

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Solution

The fourth proportional to 10,827.32, 16,266.92 and 6,939.32 is: 10,425.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.32 : 16,266.92 = 6,939.32 : x
  2. Step 2: Convert to fraction form
    10,827.32/16,266.92 = 6,939.32/x
  3. Step 3: Cross multiply
    10,827.32x = 16,266.92 × 6,939.32
  4. Step 4: Simplify right side
    10,827.32x = 112,881,363.29
  5. Step 5: Solve for x
    x = 112,881,363.29/10,827.32
  6. Step 6: Final answer
    x = 10,425.61

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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.