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Finding the Fourth Proportional to 7,605.70, 11,410.38 and 2,411.57

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Solution

The fourth proportional to 7,605.70, 11,410.38 and 2,411.57 is: 3,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.70 : 11,410.38 = 2,411.57 : x
  2. Step 2: Convert to fraction form
    7,605.70/11,410.38 = 2,411.57/x
  3. Step 3: Cross multiply
    7,605.70x = 11,410.38 × 2,411.57
  4. Step 4: Simplify right side
    7,605.70x = 27,516,958.62
  5. Step 5: Solve for x
    x = 27,516,958.62/7,605.70
  6. Step 6: Final answer
    x = 3,617.94

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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.