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Finding the Fourth Proportional to 8,103.12, 11,182.32 and 4,700.79

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Solution

The fourth proportional to 8,103.12, 11,182.32 and 4,700.79 is: 6,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.12 : 11,182.32 = 4,700.79 : x
  2. Step 2: Convert to fraction form
    8,103.12/11,182.32 = 4,700.79/x
  3. Step 3: Cross multiply
    8,103.12x = 11,182.32 × 4,700.79
  4. Step 4: Simplify right side
    8,103.12x = 52,565,738.03
  5. Step 5: Solve for x
    x = 52,565,738.03/8,103.12
  6. Step 6: Final answer
    x = 6,487.10

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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.