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Finding the Fourth Proportional to 11,659.15, 17,493.88 and 6,111.17

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Solution

The fourth proportional to 11,659.15, 17,493.88 and 6,111.17 is: 9,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.15 : 17,493.88 = 6,111.17 : x
  2. Step 2: Convert to fraction form
    11,659.15/17,493.88 = 6,111.17/x
  3. Step 3: Cross multiply
    11,659.15x = 17,493.88 × 6,111.17
  4. Step 4: Simplify right side
    11,659.15x = 106,907,971.89
  5. Step 5: Solve for x
    x = 106,907,971.89/11,659.15
  6. Step 6: Final answer
    x = 9,169.45

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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.