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Finding the Fourth Proportional to 7,605.30, 11,408.36 and 2,411.58

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Solution

The fourth proportional to 7,605.30, 11,408.36 and 2,411.58 is: 3,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.30 : 11,408.36 = 2,411.58 : x
  2. Step 2: Convert to fraction form
    7,605.30/11,408.36 = 2,411.58/x
  3. Step 3: Cross multiply
    7,605.30x = 11,408.36 × 2,411.58
  4. Step 4: Simplify right side
    7,605.30x = 27,512,160.75
  5. Step 5: Solve for x
    x = 27,512,160.75/7,605.30
  6. Step 6: Final answer
    x = 3,617.50

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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.