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Finding the Fourth Proportional to 7,724.00, 10,659.13 and 4,187.21

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Solution

The fourth proportional to 7,724.00, 10,659.13 and 4,187.21 is: 5,778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.00 : 10,659.13 = 4,187.21 : x
  2. Step 2: Convert to fraction form
    7,724.00/10,659.13 = 4,187.21/x
  3. Step 3: Cross multiply
    7,724.00x = 10,659.13 × 4,187.21
  4. Step 4: Simplify right side
    7,724.00x = 44,631,951.96
  5. Step 5: Solve for x
    x = 44,631,951.96/7,724.00
  6. Step 6: Final answer
    x = 5,778.35

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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.