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Finding the Fourth Proportional to 11,957.61, 17,924.94 and 5,715.96

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Solution

The fourth proportional to 11,957.61, 17,924.94 and 5,715.96 is: 8,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.61 : 17,924.94 = 5,715.96 : x
  2. Step 2: Convert to fraction form
    11,957.61/17,924.94 = 5,715.96/x
  3. Step 3: Cross multiply
    11,957.61x = 17,924.94 × 5,715.96
  4. Step 4: Simplify right side
    11,957.61x = 102,458,240.04
  5. Step 5: Solve for x
    x = 102,458,240.04/11,957.61
  6. Step 6: Final answer
    x = 8,568.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.