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Finding the Fourth Proportional to 8,062.50, 12,096.45 and 7,286.10

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Solution

The fourth proportional to 8,062.50, 12,096.45 and 7,286.10 is: 10,931.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.50 : 12,096.45 = 7,286.10 : x
  2. Step 2: Convert to fraction form
    8,062.50/12,096.45 = 7,286.10/x
  3. Step 3: Cross multiply
    8,062.50x = 12,096.45 × 7,286.10
  4. Step 4: Simplify right side
    8,062.50x = 88,135,944.35
  5. Step 5: Solve for x
    x = 88,135,944.35/8,062.50
  6. Step 6: Final answer
    x = 10,931.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.