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Finding the Fourth Proportional to 7,734.69, 11,605.68 and 3,572.10

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Solution

The fourth proportional to 7,734.69, 11,605.68 and 3,572.10 is: 5,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.69 : 11,605.68 = 3,572.10 : x
  2. Step 2: Convert to fraction form
    7,734.69/11,605.68 = 3,572.10/x
  3. Step 3: Cross multiply
    7,734.69x = 11,605.68 × 3,572.10
  4. Step 4: Simplify right side
    7,734.69x = 41,456,649.53
  5. Step 5: Solve for x
    x = 41,456,649.53/7,734.69
  6. Step 6: Final answer
    x = 5,359.83

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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.