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Finding the Fourth Proportional to 11,601.30, 15,999.48 and 9,362.46

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Solution

The fourth proportional to 11,601.30, 15,999.48 and 9,362.46 is: 12,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.30 : 15,999.48 = 9,362.46 : x
  2. Step 2: Convert to fraction form
    11,601.30/15,999.48 = 9,362.46/x
  3. Step 3: Cross multiply
    11,601.30x = 15,999.48 × 9,362.46
  4. Step 4: Simplify right side
    11,601.30x = 149,794,491.52
  5. Step 5: Solve for x
    x = 149,794,491.52/11,601.30
  6. Step 6: Final answer
    x = 12,911.87

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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.