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Finding the Fourth Proportional to 7,727.54, 10,663.94 and 4,190.74

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Solution

The fourth proportional to 7,727.54, 10,663.94 and 4,190.74 is: 5,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.54 : 10,663.94 = 4,190.74 : x
  2. Step 2: Convert to fraction form
    7,727.54/10,663.94 = 4,190.74/x
  3. Step 3: Cross multiply
    7,727.54x = 10,663.94 × 4,190.74
  4. Step 4: Simplify right side
    7,727.54x = 44,689,783.73
  5. Step 5: Solve for x
    x = 44,689,783.73/7,727.54
  6. Step 6: Final answer
    x = 5,783.19

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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.