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Finding the Fourth Proportional to 10,676.32, 14,731.92 and 5,959.84

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Solution

The fourth proportional to 10,676.32, 14,731.92 and 5,959.84 is: 8,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.32 : 14,731.92 = 5,959.84 : x
  2. Step 2: Convert to fraction form
    10,676.32/14,731.92 = 5,959.84/x
  3. Step 3: Cross multiply
    10,676.32x = 14,731.92 × 5,959.84
  4. Step 4: Simplify right side
    10,676.32x = 87,799,886.09
  5. Step 5: Solve for x
    x = 87,799,886.09/10,676.32
  6. Step 6: Final answer
    x = 8,223.80

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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.