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Finding the Fourth Proportional to 11,867.34, 16,377.09 and 6,562.11

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Solution

The fourth proportional to 11,867.34, 16,377.09 and 6,562.11 is: 9,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.34 : 16,377.09 = 6,562.11 : x
  2. Step 2: Convert to fraction form
    11,867.34/16,377.09 = 6,562.11/x
  3. Step 3: Cross multiply
    11,867.34x = 16,377.09 × 6,562.11
  4. Step 4: Simplify right side
    11,867.34x = 107,468,266.06
  5. Step 5: Solve for x
    x = 107,468,266.06/11,867.34
  6. Step 6: Final answer
    x = 9,055.80

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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.