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Finding the Fourth Proportional to 10,912.25, 15,058.91 and 5,944.25

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Solution

The fourth proportional to 10,912.25, 15,058.91 and 5,944.25 is: 8,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.25 : 15,058.91 = 5,944.25 : x
  2. Step 2: Convert to fraction form
    10,912.25/15,058.91 = 5,944.25/x
  3. Step 3: Cross multiply
    10,912.25x = 15,058.91 × 5,944.25
  4. Step 4: Simplify right side
    10,912.25x = 89,513,925.77
  5. Step 5: Solve for x
    x = 89,513,925.77/10,912.25
  6. Step 6: Final answer
    x = 8,203.07

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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.