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Finding the Fourth Proportional to 7,657.38, 11,486.07 and 2,463.66

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Solution

The fourth proportional to 7,657.38, 11,486.07 and 2,463.66 is: 3,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.38 : 11,486.07 = 2,463.66 : x
  2. Step 2: Convert to fraction form
    7,657.38/11,486.07 = 2,463.66/x
  3. Step 3: Cross multiply
    7,657.38x = 11,486.07 × 2,463.66
  4. Step 4: Simplify right side
    7,657.38x = 28,297,771.22
  5. Step 5: Solve for x
    x = 28,297,771.22/7,657.38
  6. Step 6: Final answer
    x = 3,695.49

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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.