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Finding the Fourth Proportional to 10,206.69, 15,310.04 and 6,499.73

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Solution

The fourth proportional to 10,206.69, 15,310.04 and 6,499.73 is: 9,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.69 : 15,310.04 = 6,499.73 : x
  2. Step 2: Convert to fraction form
    10,206.69/15,310.04 = 6,499.73/x
  3. Step 3: Cross multiply
    10,206.69x = 15,310.04 × 6,499.73
  4. Step 4: Simplify right side
    10,206.69x = 99,511,017.24
  5. Step 5: Solve for x
    x = 99,511,017.24/10,206.69
  6. Step 6: Final answer
    x = 9,749.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.