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Finding the Fourth Proportional to 11,807.68, 16,294.08 and 6,768.29

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Solution

The fourth proportional to 11,807.68, 16,294.08 and 6,768.29 is: 9,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.68 : 16,294.08 = 6,768.29 : x
  2. Step 2: Convert to fraction form
    11,807.68/16,294.08 = 6,768.29/x
  3. Step 3: Cross multiply
    11,807.68x = 16,294.08 × 6,768.29
  4. Step 4: Simplify right side
    11,807.68x = 110,283,033.34
  5. Step 5: Solve for x
    x = 110,283,033.34/11,807.68
  6. Step 6: Final answer
    x = 9,339.94

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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.