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Finding the Fourth Proportional to 7,728.68, 10,665.60 and 4,191.90

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Solution

The fourth proportional to 7,728.68, 10,665.60 and 4,191.90 is: 5,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.68 : 10,665.60 = 4,191.90 : x
  2. Step 2: Convert to fraction form
    7,728.68/10,665.60 = 4,191.90/x
  3. Step 3: Cross multiply
    7,728.68x = 10,665.60 × 4,191.90
  4. Step 4: Simplify right side
    7,728.68x = 44,709,128.64
  5. Step 5: Solve for x
    x = 44,709,128.64/7,728.68
  6. Step 6: Final answer
    x = 5,784.83

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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.