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Finding the Fourth Proportional to 8,532.92, 12,741.78 and 6,975.96

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Solution

The fourth proportional to 8,532.92, 12,741.78 and 6,975.96 is: 10,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.92 : 12,741.78 = 6,975.96 : x
  2. Step 2: Convert to fraction form
    8,532.92/12,741.78 = 6,975.96/x
  3. Step 3: Cross multiply
    8,532.92x = 12,741.78 × 6,975.96
  4. Step 4: Simplify right side
    8,532.92x = 88,886,147.61
  5. Step 5: Solve for x
    x = 88,886,147.61/8,532.92
  6. Step 6: Final answer
    x = 10,416.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.