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Finding the Fourth Proportional to 11,838.54, 17,757.38 and 4,047.14

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Solution

The fourth proportional to 11,838.54, 17,757.38 and 4,047.14 is: 6,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.54 : 17,757.38 = 4,047.14 : x
  2. Step 2: Convert to fraction form
    11,838.54/17,757.38 = 4,047.14/x
  3. Step 3: Cross multiply
    11,838.54x = 17,757.38 × 4,047.14
  4. Step 4: Simplify right side
    11,838.54x = 71,866,602.89
  5. Step 5: Solve for x
    x = 71,866,602.89/11,838.54
  6. Step 6: Final answer
    x = 6,070.56

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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.