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Finding the Fourth Proportional to 11,558.52, 15,981.86 and 10,082.30

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Solution

The fourth proportional to 11,558.52, 15,981.86 and 10,082.30 is: 13,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.52 : 15,981.86 = 10,082.30 : x
  2. Step 2: Convert to fraction form
    11,558.52/15,981.86 = 10,082.30/x
  3. Step 3: Cross multiply
    11,558.52x = 15,981.86 × 10,082.30
  4. Step 4: Simplify right side
    11,558.52x = 161,133,776.76
  5. Step 5: Solve for x
    x = 161,133,776.76/11,558.52
  6. Step 6: Final answer
    x = 13,940.69

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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.