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Finding the Fourth Proportional to 7,896.95, 11,843.36 and 2,348.80

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Solution

The fourth proportional to 7,896.95, 11,843.36 and 2,348.80 is: 3,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.95 : 11,843.36 = 2,348.80 : x
  2. Step 2: Convert to fraction form
    7,896.95/11,843.36 = 2,348.80/x
  3. Step 3: Cross multiply
    7,896.95x = 11,843.36 × 2,348.80
  4. Step 4: Simplify right side
    7,896.95x = 27,817,689.84
  5. Step 5: Solve for x
    x = 27,817,689.84/7,896.95
  6. Step 6: Final answer
    x = 3,522.59

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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.