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Finding the Fourth Proportional to 6,735.24, 10,112.22 and 4,411.08

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Solution

The fourth proportional to 6,735.24, 10,112.22 and 4,411.08 is: 6,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.24 : 10,112.22 = 4,411.08 : x
  2. Step 2: Convert to fraction form
    6,735.24/10,112.22 = 4,411.08/x
  3. Step 3: Cross multiply
    6,735.24x = 10,112.22 × 4,411.08
  4. Step 4: Simplify right side
    6,735.24x = 44,605,811.40
  5. Step 5: Solve for x
    x = 44,605,811.40/6,735.24
  6. Step 6: Final answer
    x = 6,622.75

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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.