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Finding the Fourth Proportional to 10,676.68, 14,732.58 and 5,960.80

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Solution

The fourth proportional to 10,676.68, 14,732.58 and 5,960.80 is: 8,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.68 : 14,732.58 = 5,960.80 : x
  2. Step 2: Convert to fraction form
    10,676.68/14,732.58 = 5,960.80/x
  3. Step 3: Cross multiply
    10,676.68x = 14,732.58 × 5,960.80
  4. Step 4: Simplify right side
    10,676.68x = 87,817,962.86
  5. Step 5: Solve for x
    x = 87,817,962.86/10,676.68
  6. Step 6: Final answer
    x = 8,225.21

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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.