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Finding the Fourth Proportional to 11,902.54, 16,422.72 and 7,124.02

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Solution

The fourth proportional to 11,902.54, 16,422.72 and 7,124.02 is: 9,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.54 : 16,422.72 = 7,124.02 : x
  2. Step 2: Convert to fraction form
    11,902.54/16,422.72 = 7,124.02/x
  3. Step 3: Cross multiply
    11,902.54x = 16,422.72 × 7,124.02
  4. Step 4: Simplify right side
    11,902.54x = 116,995,785.73
  5. Step 5: Solve for x
    x = 116,995,785.73/11,902.54
  6. Step 6: Final answer
    x = 9,829.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.