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Finding the Fourth Proportional to 7,691.67, 11,537.55 and 2,762.10

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Solution

The fourth proportional to 7,691.67, 11,537.55 and 2,762.10 is: 4,143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.67 : 11,537.55 = 2,762.10 : x
  2. Step 2: Convert to fraction form
    7,691.67/11,537.55 = 2,762.10/x
  3. Step 3: Cross multiply
    7,691.67x = 11,537.55 × 2,762.10
  4. Step 4: Simplify right side
    7,691.67x = 31,867,866.86
  5. Step 5: Solve for x
    x = 31,867,866.86/7,691.67
  6. Step 6: Final answer
    x = 4,143.17

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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.