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Finding the Fourth Proportional to 7,095.57, 9,791.90 and 4,111.58

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Solution

The fourth proportional to 7,095.57, 9,791.90 and 4,111.58 is: 5,673.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.57 : 9,791.90 = 4,111.58 : x
  2. Step 2: Convert to fraction form
    7,095.57/9,791.90 = 4,111.58/x
  3. Step 3: Cross multiply
    7,095.57x = 9,791.90 × 4,111.58
  4. Step 4: Simplify right side
    7,095.57x = 40,260,110.68
  5. Step 5: Solve for x
    x = 40,260,110.68/7,095.57
  6. Step 6: Final answer
    x = 5,673.98

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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.