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Finding the Fourth Proportional to 10,211.40, 15,278.22 and 6,755.40

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Solution

The fourth proportional to 10,211.40, 15,278.22 and 6,755.40 is: 10,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.40 : 15,278.22 = 6,755.40 : x
  2. Step 2: Convert to fraction form
    10,211.40/15,278.22 = 6,755.40/x
  3. Step 3: Cross multiply
    10,211.40x = 15,278.22 × 6,755.40
  4. Step 4: Simplify right side
    10,211.40x = 103,210,487.39
  5. Step 5: Solve for x
    x = 103,210,487.39/10,211.40
  6. Step 6: Final answer
    x = 10,107.38

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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.