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Finding the Fourth Proportional to 7,157.39, 10,736.09 and 5,764.19

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Solution

The fourth proportional to 7,157.39, 10,736.09 and 5,764.19 is: 8,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.39 : 10,736.09 = 5,764.19 : x
  2. Step 2: Convert to fraction form
    7,157.39/10,736.09 = 5,764.19/x
  3. Step 3: Cross multiply
    7,157.39x = 10,736.09 × 5,764.19
  4. Step 4: Simplify right side
    7,157.39x = 61,884,862.62
  5. Step 5: Solve for x
    x = 61,884,862.62/7,157.39
  6. Step 6: Final answer
    x = 8,646.29

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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.