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Finding the Fourth Proportional to 11,867.62, 16,376.63 and 6,562.09

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Solution

The fourth proportional to 11,867.62, 16,376.63 and 6,562.09 is: 9,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.62 : 16,376.63 = 6,562.09 : x
  2. Step 2: Convert to fraction form
    11,867.62/16,376.63 = 6,562.09/x
  3. Step 3: Cross multiply
    11,867.62x = 16,376.63 × 6,562.09
  4. Step 4: Simplify right side
    11,867.62x = 107,464,805.26
  5. Step 5: Solve for x
    x = 107,464,805.26/11,867.62
  6. Step 6: Final answer
    x = 9,055.30

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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.