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Finding the Fourth Proportional to 7,143.60, 10,716.62 and 2,212.05

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Solution

The fourth proportional to 7,143.60, 10,716.62 and 2,212.05 is: 3,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.60 : 10,716.62 = 2,212.05 : x
  2. Step 2: Convert to fraction form
    7,143.60/10,716.62 = 2,212.05/x
  3. Step 3: Cross multiply
    7,143.60x = 10,716.62 × 2,212.05
  4. Step 4: Simplify right side
    7,143.60x = 23,705,688.21
  5. Step 5: Solve for x
    x = 23,705,688.21/7,143.60
  6. Step 6: Final answer
    x = 3,318.45

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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.