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Finding the Fourth Proportional to 11,838.90, 17,760.06 and 3,517.89

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Solution

The fourth proportional to 11,838.90, 17,760.06 and 3,517.89 is: 5,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.90 : 17,760.06 = 3,517.89 : x
  2. Step 2: Convert to fraction form
    11,838.90/17,760.06 = 3,517.89/x
  3. Step 3: Cross multiply
    11,838.90x = 17,760.06 × 3,517.89
  4. Step 4: Simplify right side
    11,838.90x = 62,477,937.47
  5. Step 5: Solve for x
    x = 62,477,937.47/11,838.90
  6. Step 6: Final answer
    x = 5,277.34

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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.