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Finding the Fourth Proportional to 10,609.76, 14,638.92 and 6,132.80

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Solution

The fourth proportional to 10,609.76, 14,638.92 and 6,132.80 is: 8,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.76 : 14,638.92 = 6,132.80 : x
  2. Step 2: Convert to fraction form
    10,609.76/14,638.92 = 6,132.80/x
  3. Step 3: Cross multiply
    10,609.76x = 14,638.92 × 6,132.80
  4. Step 4: Simplify right side
    10,609.76x = 89,777,568.58
  5. Step 5: Solve for x
    x = 89,777,568.58/10,609.76
  6. Step 6: Final answer
    x = 8,461.79

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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.