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Finding the Fourth Proportional to 8,151.08, 12,231.50 and 3,534.08

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Solution

The fourth proportional to 8,151.08, 12,231.50 and 3,534.08 is: 5,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.08 : 12,231.50 = 3,534.08 : x
  2. Step 2: Convert to fraction form
    8,151.08/12,231.50 = 3,534.08/x
  3. Step 3: Cross multiply
    8,151.08x = 12,231.50 × 3,534.08
  4. Step 4: Simplify right side
    8,151.08x = 43,227,099.52
  5. Step 5: Solve for x
    x = 43,227,099.52/8,151.08
  6. Step 6: Final answer
    x = 5,303.24

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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.