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Finding the Fourth Proportional to 8,070.94, 11,148.23 and 6,170.99

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Solution

The fourth proportional to 8,070.94, 11,148.23 and 6,170.99 is: 8,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.94 : 11,148.23 = 6,170.99 : x
  2. Step 2: Convert to fraction form
    8,070.94/11,148.23 = 6,170.99/x
  3. Step 3: Cross multiply
    8,070.94x = 11,148.23 × 6,170.99
  4. Step 4: Simplify right side
    8,070.94x = 68,795,575.53
  5. Step 5: Solve for x
    x = 68,795,575.53/8,070.94
  6. Step 6: Final answer
    x = 8,523.86

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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.