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Finding the Fourth Proportional to 8,521.50, 12,784.44 and 2,974.86

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Solution

The fourth proportional to 8,521.50, 12,784.44 and 2,974.86 is: 4,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.50 : 12,784.44 = 2,974.86 : x
  2. Step 2: Convert to fraction form
    8,521.50/12,784.44 = 2,974.86/x
  3. Step 3: Cross multiply
    8,521.50x = 12,784.44 × 2,974.86
  4. Step 4: Simplify right side
    8,521.50x = 38,031,919.18
  5. Step 5: Solve for x
    x = 38,031,919.18/8,521.50
  6. Step 6: Final answer
    x = 4,463.05

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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.