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Finding the Fourth Proportional to 7,238.58, 10,857.86 and 3,340.86

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Solution

The fourth proportional to 7,238.58, 10,857.86 and 3,340.86 is: 5,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.58 : 10,857.86 = 3,340.86 : x
  2. Step 2: Convert to fraction form
    7,238.58/10,857.86 = 3,340.86/x
  3. Step 3: Cross multiply
    7,238.58x = 10,857.86 × 3,340.86
  4. Step 4: Simplify right side
    7,238.58x = 36,274,590.16
  5. Step 5: Solve for x
    x = 36,274,590.16/7,238.58
  6. Step 6: Final answer
    x = 5,011.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.