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Finding the Fourth Proportional to 7,797.14, 10,760.38 and 4,810.82

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Solution

The fourth proportional to 7,797.14, 10,760.38 and 4,810.82 is: 6,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.14 : 10,760.38 = 4,810.82 : x
  2. Step 2: Convert to fraction form
    7,797.14/10,760.38 = 4,810.82/x
  3. Step 3: Cross multiply
    7,797.14x = 10,760.38 × 4,810.82
  4. Step 4: Simplify right side
    7,797.14x = 51,766,251.31
  5. Step 5: Solve for x
    x = 51,766,251.31/7,797.14
  6. Step 6: Final answer
    x = 6,639.13

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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.