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Finding the Fourth Proportional to 8,709, 12,018.42 and 4,983

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Solution

The fourth proportional to 8,709, 12,018.42 and 4,983 is: 6,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709 : 12,018.42 = 4,983 : x
  2. Step 2: Convert to fraction form
    8,709/12,018.42 = 4,983/x
  3. Step 3: Cross multiply
    8,709x = 12,018.42 × 4,983
  4. Step 4: Simplify right side
    8,709x = 59,887,786.86
  5. Step 5: Solve for x
    x = 59,887,786.86/8,709
  6. Step 6: Final answer
    x = 6,876.54

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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.