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Finding the Fourth Proportional to 11,544.99, 15,939.50 and 7,243.98

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Solution

The fourth proportional to 11,544.99, 15,939.50 and 7,243.98 is: 10,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.99 : 15,939.50 = 7,243.98 : x
  2. Step 2: Convert to fraction form
    11,544.99/15,939.50 = 7,243.98/x
  3. Step 3: Cross multiply
    11,544.99x = 15,939.50 × 7,243.98
  4. Step 4: Simplify right side
    11,544.99x = 115,465,382.99
  5. Step 5: Solve for x
    x = 115,465,382.99/11,544.99
  6. Step 6: Final answer
    x = 10,001.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.