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Finding the Fourth Proportional to 7,728.41, 10,665.20 and 4,191.64

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Solution

The fourth proportional to 7,728.41, 10,665.20 and 4,191.64 is: 5,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.41 : 10,665.20 = 4,191.64 : x
  2. Step 2: Convert to fraction form
    7,728.41/10,665.20 = 4,191.64/x
  3. Step 3: Cross multiply
    7,728.41x = 10,665.20 × 4,191.64
  4. Step 4: Simplify right side
    7,728.41x = 44,704,705.59
  5. Step 5: Solve for x
    x = 44,704,705.59/7,728.41
  6. Step 6: Final answer
    x = 5,784.47

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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.