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Finding the Fourth Proportional to 8,514, 11,749.92 and 4,788

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Solution

The fourth proportional to 8,514, 11,749.92 and 4,788 is: 6,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514 : 11,749.92 = 4,788 : x
  2. Step 2: Convert to fraction form
    8,514/11,749.92 = 4,788/x
  3. Step 3: Cross multiply
    8,514x = 11,749.92 × 4,788
  4. Step 4: Simplify right side
    8,514x = 56,258,616.96
  5. Step 5: Solve for x
    x = 56,258,616.96/8,514
  6. Step 6: Final answer
    x = 6,607.78

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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.