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Finding the Fourth Proportional to 8,026.04, 12,035.94 and 3,215.99

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Solution

The fourth proportional to 8,026.04, 12,035.94 and 3,215.99 is: 4,822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.04 : 12,035.94 = 3,215.99 : x
  2. Step 2: Convert to fraction form
    8,026.04/12,035.94 = 3,215.99/x
  3. Step 3: Cross multiply
    8,026.04x = 12,035.94 × 3,215.99
  4. Step 4: Simplify right side
    8,026.04x = 38,707,402.50
  5. Step 5: Solve for x
    x = 38,707,402.50/8,026.04
  6. Step 6: Final answer
    x = 4,822.73

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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.