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Finding the Fourth Proportional to 8,144.41, 11,239.53 and 5,722.10

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Solution

The fourth proportional to 8,144.41, 11,239.53 and 5,722.10 is: 7,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.41 : 11,239.53 = 5,722.10 : x
  2. Step 2: Convert to fraction form
    8,144.41/11,239.53 = 5,722.10/x
  3. Step 3: Cross multiply
    8,144.41x = 11,239.53 × 5,722.10
  4. Step 4: Simplify right side
    8,144.41x = 64,313,714.61
  5. Step 5: Solve for x
    x = 64,313,714.61/8,144.41
  6. Step 6: Final answer
    x = 7,896.67

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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.