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Finding the Fourth Proportional to 11,553.48, 15,934.86 and 7,519.68

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Solution

The fourth proportional to 11,553.48, 15,934.86 and 7,519.68 is: 10,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.48 : 15,934.86 = 7,519.68 : x
  2. Step 2: Convert to fraction form
    11,553.48/15,934.86 = 7,519.68/x
  3. Step 3: Cross multiply
    11,553.48x = 15,934.86 × 7,519.68
  4. Step 4: Simplify right side
    11,553.48x = 119,825,048.04
  5. Step 5: Solve for x
    x = 119,825,048.04/11,553.48
  6. Step 6: Final answer
    x = 10,371.34

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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.