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Finding the Fourth Proportional to 11,844.87, 16,345.95 and 6,540.06

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Solution

The fourth proportional to 11,844.87, 16,345.95 and 6,540.06 is: 9,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.87 : 16,345.95 = 6,540.06 : x
  2. Step 2: Convert to fraction form
    11,844.87/16,345.95 = 6,540.06/x
  3. Step 3: Cross multiply
    11,844.87x = 16,345.95 × 6,540.06
  4. Step 4: Simplify right side
    11,844.87x = 106,903,493.76
  5. Step 5: Solve for x
    x = 106,903,493.76/11,844.87
  6. Step 6: Final answer
    x = 9,025.30

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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.