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Finding the Fourth Proportional to 7,138.79, 10,703.61 and 3,433.64

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Solution

The fourth proportional to 7,138.79, 10,703.61 and 3,433.64 is: 5,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.79 : 10,703.61 = 3,433.64 : x
  2. Step 2: Convert to fraction form
    7,138.79/10,703.61 = 3,433.64/x
  3. Step 3: Cross multiply
    7,138.79x = 10,703.61 × 3,433.64
  4. Step 4: Simplify right side
    7,138.79x = 36,752,289.92
  5. Step 5: Solve for x
    x = 36,752,289.92/7,138.79
  6. Step 6: Final answer
    x = 5,148.26

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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.