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Finding the Fourth Proportional to 11,838.51, 17,757.77 and 4,047.39

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Solution

The fourth proportional to 11,838.51, 17,757.77 and 4,047.39 is: 6,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.51 : 17,757.77 = 4,047.39 : x
  2. Step 2: Convert to fraction form
    11,838.51/17,757.77 = 4,047.39/x
  3. Step 3: Cross multiply
    11,838.51x = 17,757.77 × 4,047.39
  4. Step 4: Simplify right side
    11,838.51x = 71,872,600.48
  5. Step 5: Solve for x
    x = 71,872,600.48/11,838.51
  6. Step 6: Final answer
    x = 6,071.09

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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.