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Finding the Fourth Proportional to 10,676.32, 14,731.95 and 5,960.80

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Solution

The fourth proportional to 10,676.32, 14,731.95 and 5,960.80 is: 8,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.32 : 14,731.95 = 5,960.80 : x
  2. Step 2: Convert to fraction form
    10,676.32/14,731.95 = 5,960.80/x
  3. Step 3: Cross multiply
    10,676.32x = 14,731.95 × 5,960.80
  4. Step 4: Simplify right side
    10,676.32x = 87,814,207.56
  5. Step 5: Solve for x
    x = 87,814,207.56/10,676.32
  6. Step 6: Final answer
    x = 8,225.14

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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.