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Finding the Fourth Proportional to 11,993.81, 16,551.14 and 6,689.12

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Solution

The fourth proportional to 11,993.81, 16,551.14 and 6,689.12 is: 9,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.81 : 16,551.14 = 6,689.12 : x
  2. Step 2: Convert to fraction form
    11,993.81/16,551.14 = 6,689.12/x
  3. Step 3: Cross multiply
    11,993.81x = 16,551.14 × 6,689.12
  4. Step 4: Simplify right side
    11,993.81x = 110,712,445.40
  5. Step 5: Solve for x
    x = 110,712,445.40/11,993.81
  6. Step 6: Final answer
    x = 9,230.80

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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.