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Finding the Fourth Proportional to 10,140.49, 15,211.70 and 2,744.99

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Solution

The fourth proportional to 10,140.49, 15,211.70 and 2,744.99 is: 4,117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.49 : 15,211.70 = 2,744.99 : x
  2. Step 2: Convert to fraction form
    10,140.49/15,211.70 = 2,744.99/x
  3. Step 3: Cross multiply
    10,140.49x = 15,211.70 × 2,744.99
  4. Step 4: Simplify right side
    10,140.49x = 41,755,941.94
  5. Step 5: Solve for x
    x = 41,755,941.94/10,140.49
  6. Step 6: Final answer
    x = 4,117.74

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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.