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Finding the Fourth Proportional to 7,138.40, 10,707.68 and 3,439.84

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Solution

The fourth proportional to 7,138.40, 10,707.68 and 3,439.84 is: 5,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.40 : 10,707.68 = 3,439.84 : x
  2. Step 2: Convert to fraction form
    7,138.40/10,707.68 = 3,439.84/x
  3. Step 3: Cross multiply
    7,138.40x = 10,707.68 × 3,439.84
  4. Step 4: Simplify right side
    7,138.40x = 36,832,705.97
  5. Step 5: Solve for x
    x = 36,832,705.97/7,138.40
  6. Step 6: Final answer
    x = 5,159.80

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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.