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Finding the Fourth Proportional to 10,770.57, 16,127.71 and 10,113.66

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Solution

The fourth proportional to 10,770.57, 16,127.71 and 10,113.66 is: 15,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.57 : 16,127.71 = 10,113.66 : x
  2. Step 2: Convert to fraction form
    10,770.57/16,127.71 = 10,113.66/x
  3. Step 3: Cross multiply
    10,770.57x = 16,127.71 × 10,113.66
  4. Step 4: Simplify right side
    10,770.57x = 163,110,150.23
  5. Step 5: Solve for x
    x = 163,110,150.23/10,770.57
  6. Step 6: Final answer
    x = 15,144.06

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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.