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Finding the Fourth Proportional to 8,188.50, 12,282.83 and 2,032.50

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Solution

The fourth proportional to 8,188.50, 12,282.83 and 2,032.50 is: 3,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.50 : 12,282.83 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    8,188.50/12,282.83 = 2,032.50/x
  3. Step 3: Cross multiply
    8,188.50x = 12,282.83 × 2,032.50
  4. Step 4: Simplify right side
    8,188.50x = 24,964,851.98
  5. Step 5: Solve for x
    x = 24,964,851.98/8,188.50
  6. Step 6: Final answer
    x = 3,048.77

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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.