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Finding the Fourth Proportional to 8,147.99, 11,238.89 and 6,466.74

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Solution

The fourth proportional to 8,147.99, 11,238.89 and 6,466.74 is: 8,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.99 : 11,238.89 = 6,466.74 : x
  2. Step 2: Convert to fraction form
    8,147.99/11,238.89 = 6,466.74/x
  3. Step 3: Cross multiply
    8,147.99x = 11,238.89 × 6,466.74
  4. Step 4: Simplify right side
    8,147.99x = 72,678,947.18
  5. Step 5: Solve for x
    x = 72,678,947.18/8,147.99
  6. Step 6: Final answer
    x = 8,919.87

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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.