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Finding the Fourth Proportional to 10,770.41, 16,149.53 and 4,189.06

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Solution

The fourth proportional to 10,770.41, 16,149.53 and 4,189.06 is: 6,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.41 : 16,149.53 = 4,189.06 : x
  2. Step 2: Convert to fraction form
    10,770.41/16,149.53 = 4,189.06/x
  3. Step 3: Cross multiply
    10,770.41x = 16,149.53 × 4,189.06
  4. Step 4: Simplify right side
    10,770.41x = 67,651,248.45
  5. Step 5: Solve for x
    x = 67,651,248.45/10,770.41
  6. Step 6: Final answer
    x = 6,281.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.