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Finding the Fourth Proportional to 11,639.79, 16,058.64 and 7,450.47

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Solution

The fourth proportional to 11,639.79, 16,058.64 and 7,450.47 is: 10,278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.79 : 16,058.64 = 7,450.47 : x
  2. Step 2: Convert to fraction form
    11,639.79/16,058.64 = 7,450.47/x
  3. Step 3: Cross multiply
    11,639.79x = 16,058.64 × 7,450.47
  4. Step 4: Simplify right side
    11,639.79x = 119,644,415.56
  5. Step 5: Solve for x
    x = 119,644,415.56/11,639.79
  6. Step 6: Final answer
    x = 10,278.92

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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.