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Finding the Fourth Proportional to 11,807.87, 16,294.55 and 6,775.07

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Solution

The fourth proportional to 11,807.87, 16,294.55 and 6,775.07 is: 9,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.87 : 16,294.55 = 6,775.07 : x
  2. Step 2: Convert to fraction form
    11,807.87/16,294.55 = 6,775.07/x
  3. Step 3: Cross multiply
    11,807.87x = 16,294.55 × 6,775.07
  4. Step 4: Simplify right side
    11,807.87x = 110,396,601.52
  5. Step 5: Solve for x
    x = 110,396,601.52/11,807.87
  6. Step 6: Final answer
    x = 9,349.41

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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.