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Finding the Fourth Proportional to 7,728.35, 10,665.12 and 4,191.57

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Solution

The fourth proportional to 7,728.35, 10,665.12 and 4,191.57 is: 5,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.35 : 10,665.12 = 4,191.57 : x
  2. Step 2: Convert to fraction form
    7,728.35/10,665.12 = 4,191.57/x
  3. Step 3: Cross multiply
    7,728.35x = 10,665.12 × 4,191.57
  4. Step 4: Simplify right side
    7,728.35x = 44,703,597.04
  5. Step 5: Solve for x
    x = 44,703,597.04/7,728.35
  6. Step 6: Final answer
    x = 5,784.37

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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.