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Finding the Fourth Proportional to 11,864.14, 16,371.08 and 6,558.22

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Solution

The fourth proportional to 11,864.14, 16,371.08 and 6,558.22 is: 9,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.14 : 16,371.08 = 6,558.22 : x
  2. Step 2: Convert to fraction form
    11,864.14/16,371.08 = 6,558.22/x
  3. Step 3: Cross multiply
    11,864.14x = 16,371.08 × 6,558.22
  4. Step 4: Simplify right side
    11,864.14x = 107,365,111.49
  5. Step 5: Solve for x
    x = 107,365,111.49/11,864.14
  6. Step 6: Final answer
    x = 9,049.55

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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.