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Finding the Fourth Proportional to 10,822.04, 16,226.80 and 4,244.64

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Solution

The fourth proportional to 10,822.04, 16,226.80 and 4,244.64 is: 6,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.04 : 16,226.80 = 4,244.64 : x
  2. Step 2: Convert to fraction form
    10,822.04/16,226.80 = 4,244.64/x
  3. Step 3: Cross multiply
    10,822.04x = 16,226.80 × 4,244.64
  4. Step 4: Simplify right side
    10,822.04x = 68,876,924.35
  5. Step 5: Solve for x
    x = 68,876,924.35/10,822.04
  6. Step 6: Final answer
    x = 6,364.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.