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Finding the Fourth Proportional to 8,030.57, 12,045.95 and 2,832.80

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Solution

The fourth proportional to 8,030.57, 12,045.95 and 2,832.80 is: 4,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.57 : 12,045.95 = 2,832.80 : x
  2. Step 2: Convert to fraction form
    8,030.57/12,045.95 = 2,832.80/x
  3. Step 3: Cross multiply
    8,030.57x = 12,045.95 × 2,832.80
  4. Step 4: Simplify right side
    8,030.57x = 34,123,767.16
  5. Step 5: Solve for x
    x = 34,123,767.16/8,030.57
  6. Step 6: Final answer
    x = 4,249.23

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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.