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Finding the Fourth Proportional to 10,083.07, 15,114.48 and 3,841.48

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Solution

The fourth proportional to 10,083.07, 15,114.48 and 3,841.48 is: 5,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.07 : 15,114.48 = 3,841.48 : x
  2. Step 2: Convert to fraction form
    10,083.07/15,114.48 = 3,841.48/x
  3. Step 3: Cross multiply
    10,083.07x = 15,114.48 × 3,841.48
  4. Step 4: Simplify right side
    10,083.07x = 58,061,972.63
  5. Step 5: Solve for x
    x = 58,061,972.63/10,083.07
  6. Step 6: Final answer
    x = 5,758.36

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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.