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Finding the Fourth Proportional to 10,093.87, 15,126.92 and 5,153.09

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Solution

The fourth proportional to 10,093.87, 15,126.92 and 5,153.09 is: 7,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.87 : 15,126.92 = 5,153.09 : x
  2. Step 2: Convert to fraction form
    10,093.87/15,126.92 = 5,153.09/x
  3. Step 3: Cross multiply
    10,093.87x = 15,126.92 × 5,153.09
  4. Step 4: Simplify right side
    10,093.87x = 77,950,354.42
  5. Step 5: Solve for x
    x = 77,950,354.42/10,093.87
  6. Step 6: Final answer
    x = 7,722.55

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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.