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Finding the Fourth Proportional to 10,441.86, 15,662.08 and 4,896.42

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Solution

The fourth proportional to 10,441.86, 15,662.08 and 4,896.42 is: 7,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.86 : 15,662.08 = 4,896.42 : x
  2. Step 2: Convert to fraction form
    10,441.86/15,662.08 = 4,896.42/x
  3. Step 3: Cross multiply
    10,441.86x = 15,662.08 × 4,896.42
  4. Step 4: Simplify right side
    10,441.86x = 76,688,121.75
  5. Step 5: Solve for x
    x = 76,688,121.75/10,441.86
  6. Step 6: Final answer
    x = 7,344.30

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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.