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Finding the Fourth Proportional to 8,024.12, 11,073.16 and 4,487.28

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Solution

The fourth proportional to 8,024.12, 11,073.16 and 4,487.28 is: 6,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.12 : 11,073.16 = 4,487.28 : x
  2. Step 2: Convert to fraction form
    8,024.12/11,073.16 = 4,487.28/x
  3. Step 3: Cross multiply
    8,024.12x = 11,073.16 × 4,487.28
  4. Step 4: Simplify right side
    8,024.12x = 49,688,369.40
  5. Step 5: Solve for x
    x = 49,688,369.40/8,024.12
  6. Step 6: Final answer
    x = 6,192.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.