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Finding the Fourth Proportional to 11,867, 17,788.86 and 6,604.53

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Solution

The fourth proportional to 11,867, 17,788.86 and 6,604.53 is: 9,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867 : 17,788.86 = 6,604.53 : x
  2. Step 2: Convert to fraction form
    11,867/17,788.86 = 6,604.53/x
  3. Step 3: Cross multiply
    11,867x = 17,788.86 × 6,604.53
  4. Step 4: Simplify right side
    11,867x = 117,487,026.51
  5. Step 5: Solve for x
    x = 117,487,026.51/11,867
  6. Step 6: Final answer
    x = 9,900.31

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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.