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Finding the Fourth Proportional to 8,383.32, 11,569.99 and 5,027.98

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Solution

The fourth proportional to 8,383.32, 11,569.99 and 5,027.98 is: 6,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.32 : 11,569.99 = 5,027.98 : x
  2. Step 2: Convert to fraction form
    8,383.32/11,569.99 = 5,027.98/x
  3. Step 3: Cross multiply
    8,383.32x = 11,569.99 × 5,027.98
  4. Step 4: Simplify right side
    8,383.32x = 58,173,653.18
  5. Step 5: Solve for x
    x = 58,173,653.18/8,383.32
  6. Step 6: Final answer
    x = 6,939.21

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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.