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Finding the Fourth Proportional to 11,844.44, 16,340.18 and 6,807.50

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Solution

The fourth proportional to 11,844.44, 16,340.18 and 6,807.50 is: 9,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.44 : 16,340.18 = 6,807.50 : x
  2. Step 2: Convert to fraction form
    11,844.44/16,340.18 = 6,807.50/x
  3. Step 3: Cross multiply
    11,844.44x = 16,340.18 × 6,807.50
  4. Step 4: Simplify right side
    11,844.44x = 111,235,775.35
  5. Step 5: Solve for x
    x = 111,235,775.35/11,844.44
  6. Step 6: Final answer
    x = 9,391.39

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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.