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Finding the Fourth Proportional to 10,076.17, 15,103.71 and 3,832.28

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Solution

The fourth proportional to 10,076.17, 15,103.71 and 3,832.28 is: 5,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.17 : 15,103.71 = 3,832.28 : x
  2. Step 2: Convert to fraction form
    10,076.17/15,103.71 = 3,832.28/x
  3. Step 3: Cross multiply
    10,076.17x = 15,103.71 × 3,832.28
  4. Step 4: Simplify right side
    10,076.17x = 57,881,645.76
  5. Step 5: Solve for x
    x = 57,881,645.76/10,076.17
  6. Step 6: Final answer
    x = 5,744.41

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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.