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Finding the Fourth Proportional to 8,435.02, 12,649.02 and 2,887.24

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Solution

The fourth proportional to 8,435.02, 12,649.02 and 2,887.24 is: 4,329.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.02 : 12,649.02 = 2,887.24 : x
  2. Step 2: Convert to fraction form
    8,435.02/12,649.02 = 2,887.24/x
  3. Step 3: Cross multiply
    8,435.02x = 12,649.02 × 2,887.24
  4. Step 4: Simplify right side
    8,435.02x = 36,520,756.50
  5. Step 5: Solve for x
    x = 36,520,756.50/8,435.02
  6. Step 6: Final answer
    x = 4,329.66

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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.