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Finding the Fourth Proportional to 7,797.58, 10,760.71 and 4,260.78

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Solution

The fourth proportional to 7,797.58, 10,760.71 and 4,260.78 is: 5,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.58 : 10,760.71 = 4,260.78 : x
  2. Step 2: Convert to fraction form
    7,797.58/10,760.71 = 4,260.78/x
  3. Step 3: Cross multiply
    7,797.58x = 10,760.71 × 4,260.78
  4. Step 4: Simplify right side
    7,797.58x = 45,849,017.95
  5. Step 5: Solve for x
    x = 45,849,017.95/7,797.58
  6. Step 6: Final answer
    x = 5,879.90

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