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Finding the Fourth Proportional to 8,649.37, 12,972.84 and 2,806.03

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Solution

The fourth proportional to 8,649.37, 12,972.84 and 2,806.03 is: 4,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.37 : 12,972.84 = 2,806.03 : x
  2. Step 2: Convert to fraction form
    8,649.37/12,972.84 = 2,806.03/x
  3. Step 3: Cross multiply
    8,649.37x = 12,972.84 × 2,806.03
  4. Step 4: Simplify right side
    8,649.37x = 36,402,178.23
  5. Step 5: Solve for x
    x = 36,402,178.23/8,649.37
  6. Step 6: Final answer
    x = 4,208.65

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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.