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Finding the Fourth Proportional to 7,238.76, 10,859.73 and 4,120.23

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Solution

The fourth proportional to 7,238.76, 10,859.73 and 4,120.23 is: 6,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.76 : 10,859.73 = 4,120.23 : x
  2. Step 2: Convert to fraction form
    7,238.76/10,859.73 = 4,120.23/x
  3. Step 3: Cross multiply
    7,238.76x = 10,859.73 × 4,120.23
  4. Step 4: Simplify right side
    7,238.76x = 44,744,564.74
  5. Step 5: Solve for x
    x = 44,744,564.74/7,238.76
  6. Step 6: Final answer
    x = 6,181.25

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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.