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Finding the Fourth Proportional to 7,847.85, 11,744.22 and 5,366.01

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Solution

The fourth proportional to 7,847.85, 11,744.22 and 5,366.01 is: 8,030.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.85 : 11,744.22 = 5,366.01 : x
  2. Step 2: Convert to fraction form
    7,847.85/11,744.22 = 5,366.01/x
  3. Step 3: Cross multiply
    7,847.85x = 11,744.22 × 5,366.01
  4. Step 4: Simplify right side
    7,847.85x = 63,019,601.96
  5. Step 5: Solve for x
    x = 63,019,601.96/7,847.85
  6. Step 6: Final answer
    x = 8,030.17

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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.