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Finding the Fourth Proportional to 11,225.76, 15,491.46 and 6,189.99

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Solution

The fourth proportional to 11,225.76, 15,491.46 and 6,189.99 is: 8,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225.76 : 15,491.46 = 6,189.99 : x
  2. Step 2: Convert to fraction form
    11,225.76/15,491.46 = 6,189.99/x
  3. Step 3: Cross multiply
    11,225.76x = 15,491.46 × 6,189.99
  4. Step 4: Simplify right side
    11,225.76x = 95,891,982.49
  5. Step 5: Solve for x
    x = 95,891,982.49/11,225.76
  6. Step 6: Final answer
    x = 8,542.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.