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Finding the Fourth Proportional to 8,396.04, 11,581.70 and 5,037.78

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Solution

The fourth proportional to 8,396.04, 11,581.70 and 5,037.78 is: 6,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.04 : 11,581.70 = 5,037.78 : x
  2. Step 2: Convert to fraction form
    8,396.04/11,581.70 = 5,037.78/x
  3. Step 3: Cross multiply
    8,396.04x = 11,581.70 × 5,037.78
  4. Step 4: Simplify right side
    8,396.04x = 58,346,056.63
  5. Step 5: Solve for x
    x = 58,346,056.63/8,396.04
  6. Step 6: Final answer
    x = 6,949.24

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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.