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Finding the Fourth Proportional to 12,058.38, 16,640.37 and 6,753.15

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Solution

The fourth proportional to 12,058.38, 16,640.37 and 6,753.15 is: 9,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058.38 : 16,640.37 = 6,753.15 : x
  2. Step 2: Convert to fraction form
    12,058.38/16,640.37 = 6,753.15/x
  3. Step 3: Cross multiply
    12,058.38x = 16,640.37 × 6,753.15
  4. Step 4: Simplify right side
    12,058.38x = 112,374,914.67
  5. Step 5: Solve for x
    x = 112,374,914.67/12,058.38
  6. Step 6: Final answer
    x = 9,319.24

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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.