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Finding the Fourth Proportional to 7,797.38, 10,760.63 and 4,260.83

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Solution

The fourth proportional to 7,797.38, 10,760.63 and 4,260.83 is: 5,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.38 : 10,760.63 = 4,260.83 : x
  2. Step 2: Convert to fraction form
    7,797.38/10,760.63 = 4,260.83/x
  3. Step 3: Cross multiply
    7,797.38x = 10,760.63 × 4,260.83
  4. Step 4: Simplify right side
    7,797.38x = 45,849,140.02
  5. Step 5: Solve for x
    x = 45,849,140.02/7,797.38
  6. Step 6: Final answer
    x = 5,880.07

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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.