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Finding the Fourth Proportional to 7,865.01, 11,797.52 and 2,670.75

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Solution

The fourth proportional to 7,865.01, 11,797.52 and 2,670.75 is: 4,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.01 : 11,797.52 = 2,670.75 : x
  2. Step 2: Convert to fraction form
    7,865.01/11,797.52 = 2,670.75/x
  3. Step 3: Cross multiply
    7,865.01x = 11,797.52 × 2,670.75
  4. Step 4: Simplify right side
    7,865.01x = 31,508,226.54
  5. Step 5: Solve for x
    x = 31,508,226.54/7,865.01
  6. Step 6: Final answer
    x = 4,006.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.