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Finding the Fourth Proportional to 8,056.23, 12,086.21 and 2,509.28

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Solution

The fourth proportional to 8,056.23, 12,086.21 and 2,509.28 is: 3,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.23 : 12,086.21 = 2,509.28 : x
  2. Step 2: Convert to fraction form
    8,056.23/12,086.21 = 2,509.28/x
  3. Step 3: Cross multiply
    8,056.23x = 12,086.21 × 2,509.28
  4. Step 4: Simplify right side
    8,056.23x = 30,327,676.19
  5. Step 5: Solve for x
    x = 30,327,676.19/8,056.23
  6. Step 6: Final answer
    x = 3,764.50

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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.