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Finding the Fourth Proportional to 10,073.94, 15,110.91 and 3,832.51

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Solution

The fourth proportional to 10,073.94, 15,110.91 and 3,832.51 is: 5,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.94 : 15,110.91 = 3,832.51 : x
  2. Step 2: Convert to fraction form
    10,073.94/15,110.91 = 3,832.51/x
  3. Step 3: Cross multiply
    10,073.94x = 15,110.91 × 3,832.51
  4. Step 4: Simplify right side
    10,073.94x = 57,912,713.68
  5. Step 5: Solve for x
    x = 57,912,713.68/10,073.94
  6. Step 6: Final answer
    x = 5,748.77

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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.