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Finding the Fourth Proportional to 7,617.82, 11,425.33 and 3,456.83

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Solution

The fourth proportional to 7,617.82, 11,425.33 and 3,456.83 is: 5,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.82 : 11,425.33 = 3,456.83 : x
  2. Step 2: Convert to fraction form
    7,617.82/11,425.33 = 3,456.83/x
  3. Step 3: Cross multiply
    7,617.82x = 11,425.33 × 3,456.83
  4. Step 4: Simplify right side
    7,617.82x = 39,495,423.50
  5. Step 5: Solve for x
    x = 39,495,423.50/7,617.82
  6. Step 6: Final answer
    x = 5,184.61

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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.