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Finding the Fourth Proportional to 7,869, 10,859.25 and 5,482.44

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Solution

The fourth proportional to 7,869, 10,859.25 and 5,482.44 is: 7,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869 : 10,859.25 = 5,482.44 : x
  2. Step 2: Convert to fraction form
    7,869/10,859.25 = 5,482.44/x
  3. Step 3: Cross multiply
    7,869x = 10,859.25 × 5,482.44
  4. Step 4: Simplify right side
    7,869x = 59,535,186.57
  5. Step 5: Solve for x
    x = 59,535,186.57/7,869
  6. Step 6: Final answer
    x = 7,565.79

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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.