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Finding the Fourth Proportional to 10,382.22, 15,586.29 and 9,911.34

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Solution

The fourth proportional to 10,382.22, 15,586.29 and 9,911.34 is: 14,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.22 : 15,586.29 = 9,911.34 : x
  2. Step 2: Convert to fraction form
    10,382.22/15,586.29 = 9,911.34/x
  3. Step 3: Cross multiply
    10,382.22x = 15,586.29 × 9,911.34
  4. Step 4: Simplify right side
    10,382.22x = 154,481,019.53
  5. Step 5: Solve for x
    x = 154,481,019.53/10,382.22
  6. Step 6: Final answer
    x = 14,879.38

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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.