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Finding the Fourth Proportional to 11,553.32, 15,936.24 and 7,574.69

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Solution

The fourth proportional to 11,553.32, 15,936.24 and 7,574.69 is: 10,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.32 : 15,936.24 = 7,574.69 : x
  2. Step 2: Convert to fraction form
    11,553.32/15,936.24 = 7,574.69/x
  3. Step 3: Cross multiply
    11,553.32x = 15,936.24 × 7,574.69
  4. Step 4: Simplify right side
    11,553.32x = 120,711,960.21
  5. Step 5: Solve for x
    x = 120,711,960.21/11,553.32
  6. Step 6: Final answer
    x = 10,448.25

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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.