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Finding the Fourth Proportional to 8,293.34, 11,444.73 and 4,757.78

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Solution

The fourth proportional to 8,293.34, 11,444.73 and 4,757.78 is: 6,565.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.34 : 11,444.73 = 4,757.78 : x
  2. Step 2: Convert to fraction form
    8,293.34/11,444.73 = 4,757.78/x
  3. Step 3: Cross multiply
    8,293.34x = 11,444.73 × 4,757.78
  4. Step 4: Simplify right side
    8,293.34x = 54,451,507.50
  5. Step 5: Solve for x
    x = 54,451,507.50/8,293.34
  6. Step 6: Final answer
    x = 6,565.69

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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.