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Finding the Fourth Proportional to 7,138.58, 10,712.30 and 3,441.18

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Solution

The fourth proportional to 7,138.58, 10,712.30 and 3,441.18 is: 5,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.58 : 10,712.30 = 3,441.18 : x
  2. Step 2: Convert to fraction form
    7,138.58/10,712.30 = 3,441.18/x
  3. Step 3: Cross multiply
    7,138.58x = 10,712.30 × 3,441.18
  4. Step 4: Simplify right side
    7,138.58x = 36,862,994.84
  5. Step 5: Solve for x
    x = 36,862,994.84/7,138.58
  6. Step 6: Final answer
    x = 5,163.91

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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.