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Finding the Fourth Proportional to 8,038.64, 12,057.94 and 2,195.24

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Solution

The fourth proportional to 8,038.64, 12,057.94 and 2,195.24 is: 3,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.64 : 12,057.94 = 2,195.24 : x
  2. Step 2: Convert to fraction form
    8,038.64/12,057.94 = 2,195.24/x
  3. Step 3: Cross multiply
    8,038.64x = 12,057.94 × 2,195.24
  4. Step 4: Simplify right side
    8,038.64x = 26,470,072.21
  5. Step 5: Solve for x
    x = 26,470,072.21/8,038.64
  6. Step 6: Final answer
    x = 3,292.85

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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.