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Finding the Fourth Proportional to 11,448.30, 15,805.23 and 7,868.61

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Solution

The fourth proportional to 11,448.30, 15,805.23 and 7,868.61 is: 10,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.30 : 15,805.23 = 7,868.61 : x
  2. Step 2: Convert to fraction form
    11,448.30/15,805.23 = 7,868.61/x
  3. Step 3: Cross multiply
    11,448.30x = 15,805.23 × 7,868.61
  4. Step 4: Simplify right side
    11,448.30x = 124,365,190.83
  5. Step 5: Solve for x
    x = 124,365,190.83/11,448.30
  6. Step 6: Final answer
    x = 10,863.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.