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Finding the Fourth Proportional to 7,412.87, 10,229.76 and 4,055.67

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Solution

The fourth proportional to 7,412.87, 10,229.76 and 4,055.67 is: 5,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.87 : 10,229.76 = 4,055.67 : x
  2. Step 2: Convert to fraction form
    7,412.87/10,229.76 = 4,055.67/x
  3. Step 3: Cross multiply
    7,412.87x = 10,229.76 × 4,055.67
  4. Step 4: Simplify right side
    7,412.87x = 41,488,530.74
  5. Step 5: Solve for x
    x = 41,488,530.74/7,412.87
  6. Step 6: Final answer
    x = 5,596.83

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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.