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Finding the Fourth Proportional to 10,660.24, 15,991.52 and 4,092

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Solution

The fourth proportional to 10,660.24, 15,991.52 and 4,092 is: 6,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.24 : 15,991.52 = 4,092 : x
  2. Step 2: Convert to fraction form
    10,660.24/15,991.52 = 4,092/x
  3. Step 3: Cross multiply
    10,660.24x = 15,991.52 × 4,092
  4. Step 4: Simplify right side
    10,660.24x = 65,437,299.84
  5. Step 5: Solve for x
    x = 65,437,299.84/10,660.24
  6. Step 6: Final answer
    x = 6,138.45

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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.