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Finding the Fourth Proportional to 10,058.71, 13,881.10 and 6,082.47

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Solution

The fourth proportional to 10,058.71, 13,881.10 and 6,082.47 is: 8,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.71 : 13,881.10 = 6,082.47 : x
  2. Step 2: Convert to fraction form
    10,058.71/13,881.10 = 6,082.47/x
  3. Step 3: Cross multiply
    10,058.71x = 13,881.10 × 6,082.47
  4. Step 4: Simplify right side
    10,058.71x = 84,431,374.32
  5. Step 5: Solve for x
    x = 84,431,374.32/10,058.71
  6. Step 6: Final answer
    x = 8,393.86

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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.