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Finding the Fourth Proportional to 6,065.43, 8,370.24 and 3,412.77

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Solution

The fourth proportional to 6,065.43, 8,370.24 and 3,412.77 is: 4,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.43 : 8,370.24 = 3,412.77 : x
  2. Step 2: Convert to fraction form
    6,065.43/8,370.24 = 3,412.77/x
  3. Step 3: Cross multiply
    6,065.43x = 8,370.24 × 3,412.77
  4. Step 4: Simplify right side
    6,065.43x = 28,565,703.96
  5. Step 5: Solve for x
    x = 28,565,703.96/6,065.43
  6. Step 6: Final answer
    x = 4,709.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.