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Finding the Fourth Proportional to 11,504.94, 15,865.13 and 10,835.24

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Solution

The fourth proportional to 11,504.94, 15,865.13 and 10,835.24 is: 14,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.94 : 15,865.13 = 10,835.24 : x
  2. Step 2: Convert to fraction form
    11,504.94/15,865.13 = 10,835.24/x
  3. Step 3: Cross multiply
    11,504.94x = 15,865.13 × 10,835.24
  4. Step 4: Simplify right side
    11,504.94x = 171,902,357.68
  5. Step 5: Solve for x
    x = 171,902,357.68/11,504.94
  6. Step 6: Final answer
    x = 14,941.61

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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.