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Finding the Fourth Proportional to 7,141.64, 10,728.88 and 5,066.76

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Solution

The fourth proportional to 7,141.64, 10,728.88 and 5,066.76 is: 7,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.64 : 10,728.88 = 5,066.76 : x
  2. Step 2: Convert to fraction form
    7,141.64/10,728.88 = 5,066.76/x
  3. Step 3: Cross multiply
    7,141.64x = 10,728.88 × 5,066.76
  4. Step 4: Simplify right side
    7,141.64x = 54,360,660.03
  5. Step 5: Solve for x
    x = 54,360,660.03/7,141.64
  6. Step 6: Final answer
    x = 7,611.79

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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.