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Finding the Fourth Proportional to 12,116.59, 16,720.96 and 6,811.36

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Solution

The fourth proportional to 12,116.59, 16,720.96 and 6,811.36 is: 9,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.59 : 16,720.96 = 6,811.36 : x
  2. Step 2: Convert to fraction form
    12,116.59/16,720.96 = 6,811.36/x
  3. Step 3: Cross multiply
    12,116.59x = 16,720.96 × 6,811.36
  4. Step 4: Simplify right side
    12,116.59x = 113,892,394.50
  5. Step 5: Solve for x
    x = 113,892,394.50/12,116.59
  6. Step 6: Final answer
    x = 9,399.71

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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.