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Finding the Fourth Proportional to 7,232.96, 10,863.35 and 6,418.31

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Solution

The fourth proportional to 7,232.96, 10,863.35 and 6,418.31 is: 9,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.96 : 10,863.35 = 6,418.31 : x
  2. Step 2: Convert to fraction form
    7,232.96/10,863.35 = 6,418.31/x
  3. Step 3: Cross multiply
    7,232.96x = 10,863.35 × 6,418.31
  4. Step 4: Simplify right side
    7,232.96x = 69,724,285.60
  5. Step 5: Solve for x
    x = 69,724,285.60/7,232.96
  6. Step 6: Final answer
    x = 9,639.80

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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.