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Finding the Fourth Proportional to 7,157.14, 10,742.32 and 5,157.91

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Solution

The fourth proportional to 7,157.14, 10,742.32 and 5,157.91 is: 7,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.14 : 10,742.32 = 5,157.91 : x
  2. Step 2: Convert to fraction form
    7,157.14/10,742.32 = 5,157.91/x
  3. Step 3: Cross multiply
    7,157.14x = 10,742.32 × 5,157.91
  4. Step 4: Simplify right side
    7,157.14x = 55,407,919.75
  5. Step 5: Solve for x
    x = 55,407,919.75/7,157.14
  6. Step 6: Final answer
    x = 7,741.63

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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.