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Finding the Fourth Proportional to 7,441.64, 10,269.78 and 4,456.90

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Solution

The fourth proportional to 7,441.64, 10,269.78 and 4,456.90 is: 6,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.64 : 10,269.78 = 4,456.90 : x
  2. Step 2: Convert to fraction form
    7,441.64/10,269.78 = 4,456.90/x
  3. Step 3: Cross multiply
    7,441.64x = 10,269.78 × 4,456.90
  4. Step 4: Simplify right side
    7,441.64x = 45,771,382.48
  5. Step 5: Solve for x
    x = 45,771,382.48/7,441.64
  6. Step 6: Final answer
    x = 6,150.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.