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Finding the Fourth Proportional to 11,865.96, 16,376.22 and 6,561.18

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Solution

The fourth proportional to 11,865.96, 16,376.22 and 6,561.18 is: 9,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.96 : 16,376.22 = 6,561.18 : x
  2. Step 2: Convert to fraction form
    11,865.96/16,376.22 = 6,561.18/x
  3. Step 3: Cross multiply
    11,865.96x = 16,376.22 × 6,561.18
  4. Step 4: Simplify right side
    11,865.96x = 107,447,327.14
  5. Step 5: Solve for x
    x = 107,447,327.14/11,865.96
  6. Step 6: Final answer
    x = 9,055.09

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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.