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Finding the Fourth Proportional to 11,422.33, 17,124.82 and 7,902.98

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Solution

The fourth proportional to 11,422.33, 17,124.82 and 7,902.98 is: 11,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.33 : 17,124.82 = 7,902.98 : x
  2. Step 2: Convert to fraction form
    11,422.33/17,124.82 = 7,902.98/x
  3. Step 3: Cross multiply
    11,422.33x = 17,124.82 × 7,902.98
  4. Step 4: Simplify right side
    11,422.33x = 135,337,165.13
  5. Step 5: Solve for x
    x = 135,337,165.13/11,422.33
  6. Step 6: Final answer
    x = 11,848.47

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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.