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Finding the Fourth Proportional to 7,869.66, 11,805.78 and 2,323.57

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Solution

The fourth proportional to 7,869.66, 11,805.78 and 2,323.57 is: 3,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.66 : 11,805.78 = 2,323.57 : x
  2. Step 2: Convert to fraction form
    7,869.66/11,805.78 = 2,323.57/x
  3. Step 3: Cross multiply
    7,869.66x = 11,805.78 × 2,323.57
  4. Step 4: Simplify right side
    7,869.66x = 27,431,513.06
  5. Step 5: Solve for x
    x = 27,431,513.06/7,869.66
  6. Step 6: Final answer
    x = 3,485.73

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