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Finding the Fourth Proportional to 7,441.72, 10,269.77 and 4,084.51

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Solution

The fourth proportional to 7,441.72, 10,269.77 and 4,084.51 is: 5,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.72 : 10,269.77 = 4,084.51 : x
  2. Step 2: Convert to fraction form
    7,441.72/10,269.77 = 4,084.51/x
  3. Step 3: Cross multiply
    7,441.72x = 10,269.77 × 4,084.51
  4. Step 4: Simplify right side
    7,441.72x = 41,946,939.82
  5. Step 5: Solve for x
    x = 41,946,939.82/7,441.72
  6. Step 6: Final answer
    x = 5,636.72

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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.