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Finding the Fourth Proportional to 10,844.90, 16,267.35 and 4,267.49

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Solution

The fourth proportional to 10,844.90, 16,267.35 and 4,267.49 is: 6,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.90 : 16,267.35 = 4,267.49 : x
  2. Step 2: Convert to fraction form
    10,844.90/16,267.35 = 4,267.49/x
  3. Step 3: Cross multiply
    10,844.90x = 16,267.35 × 4,267.49
  4. Step 4: Simplify right side
    10,844.90x = 69,420,753.45
  5. Step 5: Solve for x
    x = 69,420,753.45/10,844.90
  6. Step 6: Final answer
    x = 6,401.24

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