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Finding the Fourth Proportional to 11,269, 16,892.16 and 4,698.82

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Solution

The fourth proportional to 11,269, 16,892.16 and 4,698.82 is: 7,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,269 : 16,892.16 = 4,698.82 : x
  2. Step 2: Convert to fraction form
    11,269/16,892.16 = 4,698.82/x
  3. Step 3: Cross multiply
    11,269x = 16,892.16 × 4,698.82
  4. Step 4: Simplify right side
    11,269x = 79,373,219.25
  5. Step 5: Solve for x
    x = 79,373,219.25/11,269
  6. Step 6: Final answer
    x = 7,043.50

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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.