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Finding the Fourth Proportional to 8,003.38, 11,044.64 and 4,466.56

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Solution

The fourth proportional to 8,003.38, 11,044.64 and 4,466.56 is: 6,163.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.38 : 11,044.64 = 4,466.56 : x
  2. Step 2: Convert to fraction form
    8,003.38/11,044.64 = 4,466.56/x
  3. Step 3: Cross multiply
    8,003.38x = 11,044.64 × 4,466.56
  4. Step 4: Simplify right side
    8,003.38x = 49,331,547.24
  5. Step 5: Solve for x
    x = 49,331,547.24/8,003.38
  6. Step 6: Final answer
    x = 6,163.84

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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.