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Finding the Fourth Proportional to 8,295.02, 11,438.36 and 6,406.92

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Solution

The fourth proportional to 8,295.02, 11,438.36 and 6,406.92 is: 8,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.02 : 11,438.36 = 6,406.92 : x
  2. Step 2: Convert to fraction form
    8,295.02/11,438.36 = 6,406.92/x
  3. Step 3: Cross multiply
    8,295.02x = 11,438.36 × 6,406.92
  4. Step 4: Simplify right side
    8,295.02x = 73,284,657.45
  5. Step 5: Solve for x
    x = 73,284,657.45/8,295.02
  6. Step 6: Final answer
    x = 8,834.78

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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.