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Finding the Fourth Proportional to 10,770.17, 16,137.77 and 10,365.57

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Solution

The fourth proportional to 10,770.17, 16,137.77 and 10,365.57 is: 15,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.17 : 16,137.77 = 10,365.57 : x
  2. Step 2: Convert to fraction form
    10,770.17/16,137.77 = 10,365.57/x
  3. Step 3: Cross multiply
    10,770.17x = 16,137.77 × 10,365.57
  4. Step 4: Simplify right side
    10,770.17x = 167,277,132.75
  5. Step 5: Solve for x
    x = 167,277,132.75/10,770.17
  6. Step 6: Final answer
    x = 15,531.53

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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.