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Finding the Fourth Proportional to 10,484.88, 14,467.92 and 5,768.88

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Solution

The fourth proportional to 10,484.88, 14,467.92 and 5,768.88 is: 7,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.88 : 14,467.92 = 5,768.88 : x
  2. Step 2: Convert to fraction form
    10,484.88/14,467.92 = 5,768.88/x
  3. Step 3: Cross multiply
    10,484.88x = 14,467.92 × 5,768.88
  4. Step 4: Simplify right side
    10,484.88x = 83,463,694.33
  5. Step 5: Solve for x
    x = 83,463,694.33/10,484.88
  6. Step 6: Final answer
    x = 7,960.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.