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Finding the Fourth Proportional to 11,877.81, 17,816.41 and 6,887.62

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Solution

The fourth proportional to 11,877.81, 17,816.41 and 6,887.62 is: 10,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.81 : 17,816.41 = 6,887.62 : x
  2. Step 2: Convert to fraction form
    11,877.81/17,816.41 = 6,887.62/x
  3. Step 3: Cross multiply
    11,877.81x = 17,816.41 × 6,887.62
  4. Step 4: Simplify right side
    11,877.81x = 122,712,661.84
  5. Step 5: Solve for x
    x = 122,712,661.84/11,877.81
  6. Step 6: Final answer
    x = 10,331.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.