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Finding the Fourth Proportional to 7,693.93, 10,617.61 and 4,157.13

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Solution

The fourth proportional to 7,693.93, 10,617.61 and 4,157.13 is: 5,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.93 : 10,617.61 = 4,157.13 : x
  2. Step 2: Convert to fraction form
    7,693.93/10,617.61 = 4,157.13/x
  3. Step 3: Cross multiply
    7,693.93x = 10,617.61 × 4,157.13
  4. Step 4: Simplify right side
    7,693.93x = 44,138,785.06
  5. Step 5: Solve for x
    x = 44,138,785.06/7,693.93
  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.