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Finding the Fourth Proportional to 7,609, 10,500.65 and 4,251.96

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Solution

The fourth proportional to 7,609, 10,500.65 and 4,251.96 is: 5,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609 : 10,500.65 = 4,251.96 : x
  2. Step 2: Convert to fraction form
    7,609/10,500.65 = 4,251.96/x
  3. Step 3: Cross multiply
    7,609x = 10,500.65 × 4,251.96
  4. Step 4: Simplify right side
    7,609x = 44,648,343.77
  5. Step 5: Solve for x
    x = 44,648,343.77/7,609
  6. Step 6: Final answer
    x = 5,867.83

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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.