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Finding the Fourth Proportional to 12,058.29, 16,642.41 and 8,278.32

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Solution

The fourth proportional to 12,058.29, 16,642.41 and 8,278.32 is: 11,425.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058.29 : 16,642.41 = 8,278.32 : x
  2. Step 2: Convert to fraction form
    12,058.29/16,642.41 = 8,278.32/x
  3. Step 3: Cross multiply
    12,058.29x = 16,642.41 × 8,278.32
  4. Step 4: Simplify right side
    12,058.29x = 137,771,195.55
  5. Step 5: Solve for x
    x = 137,771,195.55/12,058.29
  6. Step 6: Final answer
    x = 11,425.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.