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Finding the Fourth Proportional to 10,256.52, 15,384.76 and 3,331

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Solution

The fourth proportional to 10,256.52, 15,384.76 and 3,331 is: 4,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.52 : 15,384.76 = 3,331 : x
  2. Step 2: Convert to fraction form
    10,256.52/15,384.76 = 3,331/x
  3. Step 3: Cross multiply
    10,256.52x = 15,384.76 × 3,331
  4. Step 4: Simplify right side
    10,256.52x = 51,246,635.56
  5. Step 5: Solve for x
    x = 51,246,635.56/10,256.52
  6. Step 6: Final answer
    x = 4,996.49

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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.