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Finding the Fourth Proportional to 11,812.97, 16,301.32 and 6,506.80

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Solution

The fourth proportional to 11,812.97, 16,301.32 and 6,506.80 is: 8,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.97 : 16,301.32 = 6,506.80 : x
  2. Step 2: Convert to fraction form
    11,812.97/16,301.32 = 6,506.80/x
  3. Step 3: Cross multiply
    11,812.97x = 16,301.32 × 6,506.80
  4. Step 4: Simplify right side
    11,812.97x = 106,069,371.96
  5. Step 5: Solve for x
    x = 106,069,371.96/11,812.97
  6. Step 6: Final answer
    x = 8,979.06

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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.