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Finding the Fourth Proportional to 7,226.40, 10,847.16 and 6,409.92

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Solution

The fourth proportional to 7,226.40, 10,847.16 and 6,409.92 is: 9,621.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.40 : 10,847.16 = 6,409.92 : x
  2. Step 2: Convert to fraction form
    7,226.40/10,847.16 = 6,409.92/x
  3. Step 3: Cross multiply
    7,226.40x = 10,847.16 × 6,409.92
  4. Step 4: Simplify right side
    7,226.40x = 69,529,427.83
  5. Step 5: Solve for x
    x = 69,529,427.83/7,226.40
  6. Step 6: Final answer
    x = 9,621.59

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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.