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Finding the Fourth Proportional to 10,658.82, 15,992.84 and 5,722.70

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Solution

The fourth proportional to 10,658.82, 15,992.84 and 5,722.70 is: 8,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.82 : 15,992.84 = 5,722.70 : x
  2. Step 2: Convert to fraction form
    10,658.82/15,992.84 = 5,722.70/x
  3. Step 3: Cross multiply
    10,658.82x = 15,992.84 × 5,722.70
  4. Step 4: Simplify right side
    10,658.82x = 91,522,116.89
  5. Step 5: Solve for x
    x = 91,522,116.89/10,658.82
  6. Step 6: Final answer
    x = 8,586.51

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