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Finding the Fourth Proportional to 7,520, 10,377.34 and 4,162.96

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Solution

The fourth proportional to 7,520, 10,377.34 and 4,162.96 is: 5,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520 : 10,377.34 = 4,162.96 : x
  2. Step 2: Convert to fraction form
    7,520/10,377.34 = 4,162.96/x
  3. Step 3: Cross multiply
    7,520x = 10,377.34 × 4,162.96
  4. Step 4: Simplify right side
    7,520x = 43,200,451.33
  5. Step 5: Solve for x
    x = 43,200,451.33/7,520
  6. Step 6: Final answer
    x = 5,744.74

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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.