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Finding the Fourth Proportional to 8,026.38, 11,078.78 and 4,670.71

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Solution

The fourth proportional to 8,026.38, 11,078.78 and 4,670.71 is: 6,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.38 : 11,078.78 = 4,670.71 : x
  2. Step 2: Convert to fraction form
    8,026.38/11,078.78 = 4,670.71/x
  3. Step 3: Cross multiply
    8,026.38x = 11,078.78 × 4,670.71
  4. Step 4: Simplify right side
    8,026.38x = 51,745,768.53
  5. Step 5: Solve for x
    x = 51,745,768.53/8,026.38
  6. Step 6: Final answer
    x = 6,446.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.