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Finding the Fourth Proportional to 7,624.50, 10,518.59 and 5,107.42

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Solution

The fourth proportional to 7,624.50, 10,518.59 and 5,107.42 is: 7,046.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.50 : 10,518.59 = 5,107.42 : x
  2. Step 2: Convert to fraction form
    7,624.50/10,518.59 = 5,107.42/x
  3. Step 3: Cross multiply
    7,624.50x = 10,518.59 × 5,107.42
  4. Step 4: Simplify right side
    7,624.50x = 53,722,882.85
  5. Step 5: Solve for x
    x = 53,722,882.85/7,624.50
  6. Step 6: Final answer
    x = 7,046.09

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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.