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Finding the Fourth Proportional to 8,131.56, 12,199.08 and 2,509.24

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Solution

The fourth proportional to 8,131.56, 12,199.08 and 2,509.24 is: 3,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.56 : 12,199.08 = 2,509.24 : x
  2. Step 2: Convert to fraction form
    8,131.56/12,199.08 = 2,509.24/x
  3. Step 3: Cross multiply
    8,131.56x = 12,199.08 × 2,509.24
  4. Step 4: Simplify right side
    8,131.56x = 30,610,419.50
  5. Step 5: Solve for x
    x = 30,610,419.50/8,131.56
  6. Step 6: Final answer
    x = 3,764.40

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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.