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Finding the Fourth Proportional to 10,151, 15,224.16 and 3,908.96

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Solution

The fourth proportional to 10,151, 15,224.16 and 3,908.96 is: 5,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151 : 15,224.16 = 3,908.96 : x
  2. Step 2: Convert to fraction form
    10,151/15,224.16 = 3,908.96/x
  3. Step 3: Cross multiply
    10,151x = 15,224.16 × 3,908.96
  4. Step 4: Simplify right side
    10,151x = 59,510,632.47
  5. Step 5: Solve for x
    x = 59,510,632.47/10,151
  6. Step 6: Final answer
    x = 5,862.54

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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.