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Finding the Fourth Proportional to 7,441.56, 10,269.06 and 4,084.56

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Solution

The fourth proportional to 7,441.56, 10,269.06 and 4,084.56 is: 5,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.56 : 10,269.06 = 4,084.56 : x
  2. Step 2: Convert to fraction form
    7,441.56/10,269.06 = 4,084.56/x
  3. Step 3: Cross multiply
    7,441.56x = 10,269.06 × 4,084.56
  4. Step 4: Simplify right side
    7,441.56x = 41,944,591.71
  5. Step 5: Solve for x
    x = 41,944,591.71/7,441.56
  6. Step 6: Final answer
    x = 5,636.53

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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.