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Finding the Fourth Proportional to 7,724.70, 11,580.12 and 2,793.18

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Solution

The fourth proportional to 7,724.70, 11,580.12 and 2,793.18 is: 4,187.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.70 : 11,580.12 = 2,793.18 : x
  2. Step 2: Convert to fraction form
    7,724.70/11,580.12 = 2,793.18/x
  3. Step 3: Cross multiply
    7,724.70x = 11,580.12 × 2,793.18
  4. Step 4: Simplify right side
    7,724.70x = 32,345,359.58
  5. Step 5: Solve for x
    x = 32,345,359.58/7,724.70
  6. Step 6: Final answer
    x = 4,187.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.