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Finding the Fourth Proportional to 10,274.49, 15,409.17 and 2,877.03

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Solution

The fourth proportional to 10,274.49, 15,409.17 and 2,877.03 is: 4,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.49 : 15,409.17 = 2,877.03 : x
  2. Step 2: Convert to fraction form
    10,274.49/15,409.17 = 2,877.03/x
  3. Step 3: Cross multiply
    10,274.49x = 15,409.17 × 2,877.03
  4. Step 4: Simplify right side
    10,274.49x = 44,332,644.37
  5. Step 5: Solve for x
    x = 44,332,644.37/10,274.49
  6. Step 6: Final answer
    x = 4,314.83

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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.