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Finding the Fourth Proportional to 8,032.50, 12,050.43 and 2,767.98

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Solution

The fourth proportional to 8,032.50, 12,050.43 and 2,767.98 is: 4,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.50 : 12,050.43 = 2,767.98 : x
  2. Step 2: Convert to fraction form
    8,032.50/12,050.43 = 2,767.98/x
  3. Step 3: Cross multiply
    8,032.50x = 12,050.43 × 2,767.98
  4. Step 4: Simplify right side
    8,032.50x = 33,355,349.23
  5. Step 5: Solve for x
    x = 33,355,349.23/8,032.50
  6. Step 6: Final answer
    x = 4,152.55

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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.