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Finding the Fourth Proportional to 7,441.14, 10,269.06 and 4,084.07

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Solution

The fourth proportional to 7,441.14, 10,269.06 and 4,084.07 is: 5,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.14 : 10,269.06 = 4,084.07 : x
  2. Step 2: Convert to fraction form
    7,441.14/10,269.06 = 4,084.07/x
  3. Step 3: Cross multiply
    7,441.14x = 10,269.06 × 4,084.07
  4. Step 4: Simplify right side
    7,441.14x = 41,939,488.11
  5. Step 5: Solve for x
    x = 41,939,488.11/7,441.14
  6. Step 6: Final answer
    x = 5,636.17

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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.