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Finding the Fourth Proportional to 8,738, 12,058.66 and 4,759.33

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Solution

The fourth proportional to 8,738, 12,058.66 and 4,759.33 is: 6,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738 : 12,058.66 = 4,759.33 : x
  2. Step 2: Convert to fraction form
    8,738/12,058.66 = 4,759.33/x
  3. Step 3: Cross multiply
    8,738x = 12,058.66 × 4,759.33
  4. Step 4: Simplify right side
    8,738x = 57,391,142.30
  5. Step 5: Solve for x
    x = 57,391,142.30/8,738
  6. Step 6: Final answer
    x = 6,568.00

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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.