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Finding the Fourth Proportional to 7,086.39, 10,614.99 and 4,157.64

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Solution

The fourth proportional to 7,086.39, 10,614.99 and 4,157.64 is: 6,227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.39 : 10,614.99 = 4,157.64 : x
  2. Step 2: Convert to fraction form
    7,086.39/10,614.99 = 4,157.64/x
  3. Step 3: Cross multiply
    7,086.39x = 10,614.99 × 4,157.64
  4. Step 4: Simplify right side
    7,086.39x = 44,133,307.02
  5. Step 5: Solve for x
    x = 44,133,307.02/7,086.39
  6. Step 6: Final answer
    x = 6,227.90

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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.