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Finding the Fourth Proportional to 8,149.55, 11,242.80 and 6,257.79

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Solution

The fourth proportional to 8,149.55, 11,242.80 and 6,257.79 is: 8,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.55 : 11,242.80 = 6,257.79 : x
  2. Step 2: Convert to fraction form
    8,149.55/11,242.80 = 6,257.79/x
  3. Step 3: Cross multiply
    8,149.55x = 11,242.80 × 6,257.79
  4. Step 4: Simplify right side
    8,149.55x = 70,355,081.41
  5. Step 5: Solve for x
    x = 70,355,081.41/8,149.55
  6. Step 6: Final answer
    x = 8,633.01

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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.