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Finding the Fourth Proportional to 8,003.82, 11,045.79 and 5,310.42

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Solution

The fourth proportional to 8,003.82, 11,045.79 and 5,310.42 is: 7,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.82 : 11,045.79 = 5,310.42 : x
  2. Step 2: Convert to fraction form
    8,003.82/11,045.79 = 5,310.42/x
  3. Step 3: Cross multiply
    8,003.82x = 11,045.79 × 5,310.42
  4. Step 4: Simplify right side
    8,003.82x = 58,657,784.13
  5. Step 5: Solve for x
    x = 58,657,784.13/8,003.82
  6. Step 6: Final answer
    x = 7,328.72

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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.