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Finding the Fourth Proportional to 11,898.28, 17,856.06 and 6,714.28

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Solution

The fourth proportional to 11,898.28, 17,856.06 and 6,714.28 is: 10,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.28 : 17,856.06 = 6,714.28 : x
  2. Step 2: Convert to fraction form
    11,898.28/17,856.06 = 6,714.28/x
  3. Step 3: Cross multiply
    11,898.28x = 17,856.06 × 6,714.28
  4. Step 4: Simplify right side
    11,898.28x = 119,890,586.54
  5. Step 5: Solve for x
    x = 119,890,586.54/11,898.28
  6. Step 6: Final answer
    x = 10,076.30

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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.