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Finding the Fourth Proportional to 8,287.35, 11,436.83 and 4,510.65

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Solution

The fourth proportional to 8,287.35, 11,436.83 and 4,510.65 is: 6,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.35 : 11,436.83 = 4,510.65 : x
  2. Step 2: Convert to fraction form
    8,287.35/11,436.83 = 4,510.65/x
  3. Step 3: Cross multiply
    8,287.35x = 11,436.83 × 4,510.65
  4. Step 4: Simplify right side
    8,287.35x = 51,587,557.57
  5. Step 5: Solve for x
    x = 51,587,557.57/8,287.35
  6. Step 6: Final answer
    x = 6,224.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.