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Finding the Fourth Proportional to 7,724.96, 10,660.97 and 4,366.55

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Solution

The fourth proportional to 7,724.96, 10,660.97 and 4,366.55 is: 6,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.96 : 10,660.97 = 4,366.55 : x
  2. Step 2: Convert to fraction form
    7,724.96/10,660.97 = 4,366.55/x
  3. Step 3: Cross multiply
    7,724.96x = 10,660.97 × 4,366.55
  4. Step 4: Simplify right side
    7,724.96x = 46,551,583.42
  5. Step 5: Solve for x
    x = 46,551,583.42/7,724.96
  6. Step 6: Final answer
    x = 6,026.13

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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.