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Finding the Fourth Proportional to 11,232, 16,843.68 and 4,653.72

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Solution

The fourth proportional to 11,232, 16,843.68 and 4,653.72 is: 6,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232 : 16,843.68 = 4,653.72 : x
  2. Step 2: Convert to fraction form
    11,232/16,843.68 = 4,653.72/x
  3. Step 3: Cross multiply
    11,232x = 16,843.68 × 4,653.72
  4. Step 4: Simplify right side
    11,232x = 78,385,770.49
  5. Step 5: Solve for x
    x = 78,385,770.49/11,232
  6. Step 6: Final answer
    x = 6,978.79

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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.