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Finding the Fourth Proportional to 10,058.44, 13,888.80 and 6,286

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Solution

The fourth proportional to 10,058.44, 13,888.80 and 6,286 is: 8,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.44 : 13,888.80 = 6,286 : x
  2. Step 2: Convert to fraction form
    10,058.44/13,888.80 = 6,286/x
  3. Step 3: Cross multiply
    10,058.44x = 13,888.80 × 6,286
  4. Step 4: Simplify right side
    10,058.44x = 87,304,996.80
  5. Step 5: Solve for x
    x = 87,304,996.80/10,058.44
  6. Step 6: Final answer
    x = 8,679.78

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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.