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Finding the Fourth Proportional to 8,023.32, 11,066.22 and 6,033.96

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Solution

The fourth proportional to 8,023.32, 11,066.22 and 6,033.96 is: 8,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.32 : 11,066.22 = 6,033.96 : x
  2. Step 2: Convert to fraction form
    8,023.32/11,066.22 = 6,033.96/x
  3. Step 3: Cross multiply
    8,023.32x = 11,066.22 × 6,033.96
  4. Step 4: Simplify right side
    8,023.32x = 66,773,128.83
  5. Step 5: Solve for x
    x = 66,773,128.83/8,023.32
  6. Step 6: Final answer
    x = 8,322.38

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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.