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Finding the Fourth Proportional to 7,630.82, 10,535.70 and 5,116.69

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Solution

The fourth proportional to 7,630.82, 10,535.70 and 5,116.69 is: 7,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.82 : 10,535.70 = 5,116.69 : x
  2. Step 2: Convert to fraction form
    7,630.82/10,535.70 = 5,116.69/x
  3. Step 3: Cross multiply
    7,630.82x = 10,535.70 × 5,116.69
  4. Step 4: Simplify right side
    7,630.82x = 53,907,910.83
  5. Step 5: Solve for x
    x = 53,907,910.83/7,630.82
  6. Step 6: Final answer
    x = 7,064.50

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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.