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Finding the Fourth Proportional to 7,624.96, 10,519.31 and 4,640.30

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Solution

The fourth proportional to 7,624.96, 10,519.31 and 4,640.30 is: 6,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.96 : 10,519.31 = 4,640.30 : x
  2. Step 2: Convert to fraction form
    7,624.96/10,519.31 = 4,640.30/x
  3. Step 3: Cross multiply
    7,624.96x = 10,519.31 × 4,640.30
  4. Step 4: Simplify right side
    7,624.96x = 48,812,730.99
  5. Step 5: Solve for x
    x = 48,812,730.99/7,624.96
  6. Step 6: Final answer
    x = 6,401.71

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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.