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Finding the Fourth Proportional to 10,658.14, 15,991.82 and 5,722.02

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Solution

The fourth proportional to 10,658.14, 15,991.82 and 5,722.02 is: 8,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.14 : 15,991.82 = 5,722.02 : x
  2. Step 2: Convert to fraction form
    10,658.14/15,991.82 = 5,722.02/x
  3. Step 3: Cross multiply
    10,658.14x = 15,991.82 × 5,722.02
  4. Step 4: Simplify right side
    10,658.14x = 91,505,513.88
  5. Step 5: Solve for x
    x = 91,505,513.88/10,658.14
  6. Step 6: Final answer
    x = 8,585.50

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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.