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Finding the Fourth Proportional to 7,605.67, 11,408.91 and 2,411.95

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Solution

The fourth proportional to 7,605.67, 11,408.91 and 2,411.95 is: 3,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.67 : 11,408.91 = 2,411.95 : x
  2. Step 2: Convert to fraction form
    7,605.67/11,408.91 = 2,411.95/x
  3. Step 3: Cross multiply
    7,605.67x = 11,408.91 × 2,411.95
  4. Step 4: Simplify right side
    7,605.67x = 27,517,720.47
  5. Step 5: Solve for x
    x = 27,517,720.47/7,605.67
  6. Step 6: Final answer
    x = 3,618.05

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Why These Related Problems?

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