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Finding the Fourth Proportional to 11,523.89, 15,904.47 and 6,489.09

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Solution

The fourth proportional to 11,523.89, 15,904.47 and 6,489.09 is: 8,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.89 : 15,904.47 = 6,489.09 : x
  2. Step 2: Convert to fraction form
    11,523.89/15,904.47 = 6,489.09/x
  3. Step 3: Cross multiply
    11,523.89x = 15,904.47 × 6,489.09
  4. Step 4: Simplify right side
    11,523.89x = 103,205,537.23
  5. Step 5: Solve for x
    x = 103,205,537.23/11,523.89
  6. Step 6: Final answer
    x = 8,955.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.