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Finding the Fourth Proportional to 7,157.14, 10,737.03 and 2,226.46

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Solution

The fourth proportional to 7,157.14, 10,737.03 and 2,226.46 is: 3,340.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.14 : 10,737.03 = 2,226.46 : x
  2. Step 2: Convert to fraction form
    7,157.14/10,737.03 = 2,226.46/x
  3. Step 3: Cross multiply
    7,157.14x = 10,737.03 × 2,226.46
  4. Step 4: Simplify right side
    7,157.14x = 23,905,567.81
  5. Step 5: Solve for x
    x = 23,905,567.81/7,157.14
  6. Step 6: Final answer
    x = 3,340.10

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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.