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Finding the Fourth Proportional to 7,441.61, 10,269.39 and 4,084.34

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Solution

The fourth proportional to 7,441.61, 10,269.39 and 4,084.34 is: 5,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.61 : 10,269.39 = 4,084.34 : x
  2. Step 2: Convert to fraction form
    7,441.61/10,269.39 = 4,084.34/x
  3. Step 3: Cross multiply
    7,441.61x = 10,269.39 × 4,084.34
  4. Step 4: Simplify right side
    7,441.61x = 41,943,638.66
  5. Step 5: Solve for x
    x = 41,943,638.66/7,441.61
  6. Step 6: Final answer
    x = 5,636.37

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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.