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Finding the Fourth Proportional to 12,116.14, 16,720.38 and 6,811.06

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Solution

The fourth proportional to 12,116.14, 16,720.38 and 6,811.06 is: 9,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.14 : 16,720.38 = 6,811.06 : x
  2. Step 2: Convert to fraction form
    12,116.14/16,720.38 = 6,811.06/x
  3. Step 3: Cross multiply
    12,116.14x = 16,720.38 × 6,811.06
  4. Step 4: Simplify right side
    12,116.14x = 113,883,511.40
  5. Step 5: Solve for x
    x = 113,883,511.40/12,116.14
  6. Step 6: Final answer
    x = 9,399.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.