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Finding the Fourth Proportional to 8,535.87, 11,780.46 and 4,759.38

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Solution

The fourth proportional to 8,535.87, 11,780.46 and 4,759.38 is: 6,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.87 : 11,780.46 = 4,759.38 : x
  2. Step 2: Convert to fraction form
    8,535.87/11,780.46 = 4,759.38/x
  3. Step 3: Cross multiply
    8,535.87x = 11,780.46 × 4,759.38
  4. Step 4: Simplify right side
    8,535.87x = 56,067,685.71
  5. Step 5: Solve for x
    x = 56,067,685.71/8,535.87
  6. Step 6: Final answer
    x = 6,568.48

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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.