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Finding the Fourth Proportional to 10,274.52, 15,411.87 and 3,254.42

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Solution

The fourth proportional to 10,274.52, 15,411.87 and 3,254.42 is: 4,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.52 : 15,411.87 = 3,254.42 : x
  2. Step 2: Convert to fraction form
    10,274.52/15,411.87 = 3,254.42/x
  3. Step 3: Cross multiply
    10,274.52x = 15,411.87 × 3,254.42
  4. Step 4: Simplify right side
    10,274.52x = 50,156,620.91
  5. Step 5: Solve for x
    x = 50,156,620.91/10,274.52
  6. Step 6: Final answer
    x = 4,881.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.