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Finding the Fourth Proportional to 10,274.16, 15,410.95 and 2,778.44

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Solution

The fourth proportional to 10,274.16, 15,410.95 and 2,778.44 is: 4,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.16 : 15,410.95 = 2,778.44 : x
  2. Step 2: Convert to fraction form
    10,274.16/15,410.95 = 2,778.44/x
  3. Step 3: Cross multiply
    10,274.16x = 15,410.95 × 2,778.44
  4. Step 4: Simplify right side
    10,274.16x = 42,818,392.97
  5. Step 5: Solve for x
    x = 42,818,392.97/10,274.16
  6. Step 6: Final answer
    x = 4,167.58

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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.