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Finding the Fourth Proportional to 8,047.92, 12,062.52 and 4,763.78

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Solution

The fourth proportional to 8,047.92, 12,062.52 and 4,763.78 is: 7,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.92 : 12,062.52 = 4,763.78 : x
  2. Step 2: Convert to fraction form
    8,047.92/12,062.52 = 4,763.78/x
  3. Step 3: Cross multiply
    8,047.92x = 12,062.52 × 4,763.78
  4. Step 4: Simplify right side
    8,047.92x = 57,463,191.53
  5. Step 5: Solve for x
    x = 57,463,191.53/8,047.92
  6. Step 6: Final answer
    x = 7,140.13

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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.