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Finding the Fourth Proportional to 7,869, 11,792.98 and 2,933.66

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Solution

The fourth proportional to 7,869, 11,792.98 and 2,933.66 is: 4,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869 : 11,792.98 = 2,933.66 : x
  2. Step 2: Convert to fraction form
    7,869/11,792.98 = 2,933.66/x
  3. Step 3: Cross multiply
    7,869x = 11,792.98 × 2,933.66
  4. Step 4: Simplify right side
    7,869x = 34,596,593.71
  5. Step 5: Solve for x
    x = 34,596,593.71/7,869
  6. Step 6: Final answer
    x = 4,396.57

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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.