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Finding the Fourth Proportional to 8,274.66, 12,404.66 and 3,076.90

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Solution

The fourth proportional to 8,274.66, 12,404.66 and 3,076.90 is: 4,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.66 : 12,404.66 = 3,076.90 : x
  2. Step 2: Convert to fraction form
    8,274.66/12,404.66 = 3,076.90/x
  3. Step 3: Cross multiply
    8,274.66x = 12,404.66 × 3,076.90
  4. Step 4: Simplify right side
    8,274.66x = 38,167,898.35
  5. Step 5: Solve for x
    x = 38,167,898.35/8,274.66
  6. Step 6: Final answer
    x = 4,612.62

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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.