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Finding the Fourth Proportional to 8,023.32, 11,078.10 and 5,192.40

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Solution

The fourth proportional to 8,023.32, 11,078.10 and 5,192.40 is: 7,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.32 : 11,078.10 = 5,192.40 : x
  2. Step 2: Convert to fraction form
    8,023.32/11,078.10 = 5,192.40/x
  3. Step 3: Cross multiply
    8,023.32x = 11,078.10 × 5,192.40
  4. Step 4: Simplify right side
    8,023.32x = 57,521,926.44
  5. Step 5: Solve for x
    x = 57,521,926.44/8,023.32
  6. Step 6: Final answer
    x = 7,169.34

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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.