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Finding the Fourth Proportional to 8,257.98, 11,387.40 and 6,369.86

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Solution

The fourth proportional to 8,257.98, 11,387.40 and 6,369.86 is: 8,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.98 : 11,387.40 = 6,369.86 : x
  2. Step 2: Convert to fraction form
    8,257.98/11,387.40 = 6,369.86/x
  3. Step 3: Cross multiply
    8,257.98x = 11,387.40 × 6,369.86
  4. Step 4: Simplify right side
    8,257.98x = 72,536,143.76
  5. Step 5: Solve for x
    x = 72,536,143.76/8,257.98
  6. Step 6: Final answer
    x = 8,783.76

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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.