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Finding the Fourth Proportional to 7,138.44, 10,701.50 and 3,435.57

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Solution

The fourth proportional to 7,138.44, 10,701.50 and 3,435.57 is: 5,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.44 : 10,701.50 = 3,435.57 : x
  2. Step 2: Convert to fraction form
    7,138.44/10,701.50 = 3,435.57/x
  3. Step 3: Cross multiply
    7,138.44x = 10,701.50 × 3,435.57
  4. Step 4: Simplify right side
    7,138.44x = 36,765,752.36
  5. Step 5: Solve for x
    x = 36,765,752.36/7,138.44
  6. Step 6: Final answer
    x = 5,150.39

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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.