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Finding the Fourth Proportional to 8,030.43, 12,045.74 and 2,832.66

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Solution

The fourth proportional to 8,030.43, 12,045.74 and 2,832.66 is: 4,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.43 : 12,045.74 = 2,832.66 : x
  2. Step 2: Convert to fraction form
    8,030.43/12,045.74 = 2,832.66/x
  3. Step 3: Cross multiply
    8,030.43x = 12,045.74 × 2,832.66
  4. Step 4: Simplify right side
    8,030.43x = 34,121,471.71
  5. Step 5: Solve for x
    x = 34,121,471.71/8,030.43
  6. Step 6: Final answer
    x = 4,249.02

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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.