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Finding the Fourth Proportional to 8,151.27, 12,219.57 and 2,953.50

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Solution

The fourth proportional to 8,151.27, 12,219.57 and 2,953.50 is: 4,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.27 : 12,219.57 = 2,953.50 : x
  2. Step 2: Convert to fraction form
    8,151.27/12,219.57 = 2,953.50/x
  3. Step 3: Cross multiply
    8,151.27x = 12,219.57 × 2,953.50
  4. Step 4: Simplify right side
    8,151.27x = 36,090,500.00
  5. Step 5: Solve for x
    x = 36,090,500.00/8,151.27
  6. Step 6: Final answer
    x = 4,427.59

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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.