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Finding the Fourth Proportional to 7,693.94, 10,617.60 and 4,157.14

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Solution

The fourth proportional to 7,693.94, 10,617.60 and 4,157.14 is: 5,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.94 : 10,617.60 = 4,157.14 : x
  2. Step 2: Convert to fraction form
    7,693.94/10,617.60 = 4,157.14/x
  3. Step 3: Cross multiply
    7,693.94x = 10,617.60 × 4,157.14
  4. Step 4: Simplify right side
    7,693.94x = 44,138,849.66
  5. Step 5: Solve for x
    x = 44,138,849.66/7,693.94
  6. Step 6: Final answer
    x = 5,736.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.