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Finding the Fourth Proportional to 8,533, 12,800.94 and 3,604.96

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Solution

The fourth proportional to 8,533, 12,800.94 and 3,604.96 is: 5,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533 : 12,800.94 = 3,604.96 : x
  2. Step 2: Convert to fraction form
    8,533/12,800.94 = 3,604.96/x
  3. Step 3: Cross multiply
    8,533x = 12,800.94 × 3,604.96
  4. Step 4: Simplify right side
    8,533x = 46,146,876.66
  5. Step 5: Solve for x
    x = 46,146,876.66/8,533
  6. Step 6: Final answer
    x = 5,408.05

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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.