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Finding the Fourth Proportional to 10,728.30, 16,058.73 and 7,431.40

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Solution

The fourth proportional to 10,728.30, 16,058.73 and 7,431.40 is: 11,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.30 : 16,058.73 = 7,431.40 : x
  2. Step 2: Convert to fraction form
    10,728.30/16,058.73 = 7,431.40/x
  3. Step 3: Cross multiply
    10,728.30x = 16,058.73 × 7,431.40
  4. Step 4: Simplify right side
    10,728.30x = 119,338,765.83
  5. Step 5: Solve for x
    x = 119,338,765.83/10,728.30
  6. Step 6: Final answer
    x = 11,123.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.