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Finding the Fourth Proportional to 10,722.47, 16,065.92 and 7,586.94

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Solution

The fourth proportional to 10,722.47, 16,065.92 and 7,586.94 is: 11,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.47 : 16,065.92 = 7,586.94 : x
  2. Step 2: Convert to fraction form
    10,722.47/16,065.92 = 7,586.94/x
  3. Step 3: Cross multiply
    10,722.47x = 16,065.92 × 7,586.94
  4. Step 4: Simplify right side
    10,722.47x = 121,891,144.03
  5. Step 5: Solve for x
    x = 121,891,144.03/10,722.47
  6. Step 6: Final answer
    x = 11,367.82

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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.