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Finding the Fourth Proportional to 6,757.83, 10,103.47 and 5,729.33

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Solution

The fourth proportional to 6,757.83, 10,103.47 and 5,729.33 is: 8,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.83 : 10,103.47 = 5,729.33 : x
  2. Step 2: Convert to fraction form
    6,757.83/10,103.47 = 5,729.33/x
  3. Step 3: Cross multiply
    6,757.83x = 10,103.47 × 5,729.33
  4. Step 4: Simplify right side
    6,757.83x = 57,886,124.71
  5. Step 5: Solve for x
    x = 57,886,124.71/6,757.83
  6. Step 6: Final answer
    x = 8,565.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.