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Finding the Fourth Proportional to 11,864.08, 16,377.96 and 7,673.68

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Solution

The fourth proportional to 11,864.08, 16,377.96 and 7,673.68 is: 10,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.08 : 16,377.96 = 7,673.68 : x
  2. Step 2: Convert to fraction form
    11,864.08/16,377.96 = 7,673.68/x
  3. Step 3: Cross multiply
    11,864.08x = 16,377.96 × 7,673.68
  4. Step 4: Simplify right side
    11,864.08x = 125,679,224.09
  5. Step 5: Solve for x
    x = 125,679,224.09/11,864.08
  6. Step 6: Final answer
    x = 10,593.25

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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.