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Finding the Fourth Proportional to 10,768, 16,144.08 and 4,103.32

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Solution

The fourth proportional to 10,768, 16,144.08 and 4,103.32 is: 6,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768 : 16,144.08 = 4,103.32 : x
  2. Step 2: Convert to fraction form
    10,768/16,144.08 = 4,103.32/x
  3. Step 3: Cross multiply
    10,768x = 16,144.08 × 4,103.32
  4. Step 4: Simplify right side
    10,768x = 66,244,326.35
  5. Step 5: Solve for x
    x = 66,244,326.35/10,768
  6. Step 6: Final answer
    x = 6,151.96

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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.