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Finding the Fourth Proportional to 6,105.80, 8,565.40 and 6,105.80

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Solution

The fourth proportional to 6,105.80, 8,565.40 and 6,105.80 is: 8,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.80 : 8,565.40 = 6,105.80 : x
  2. Step 2: Convert to fraction form
    6,105.80/8,565.40 = 6,105.80/x
  3. Step 3: Cross multiply
    6,105.80x = 8,565.40 × 6,105.80
  4. Step 4: Simplify right side
    6,105.80x = 52,298,619.32
  5. Step 5: Solve for x
    x = 52,298,619.32/6,105.80
  6. Step 6: Final answer
    x = 8,565.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.