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Finding the Fourth Proportional to 11,661.32, 17,486.22 and 3,867.50

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Solution

The fourth proportional to 11,661.32, 17,486.22 and 3,867.50 is: 5,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.32 : 17,486.22 = 3,867.50 : x
  2. Step 2: Convert to fraction form
    11,661.32/17,486.22 = 3,867.50/x
  3. Step 3: Cross multiply
    11,661.32x = 17,486.22 × 3,867.50
  4. Step 4: Simplify right side
    11,661.32x = 67,627,955.85
  5. Step 5: Solve for x
    x = 67,627,955.85/11,661.32
  6. Step 6: Final answer
    x = 5,799.34

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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.