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Finding the Fourth Proportional to 11,356.44, 17,037.18 and 4,431

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Solution

The fourth proportional to 11,356.44, 17,037.18 and 4,431 is: 6,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.44 : 17,037.18 = 4,431 : x
  2. Step 2: Convert to fraction form
    11,356.44/17,037.18 = 4,431/x
  3. Step 3: Cross multiply
    11,356.44x = 17,037.18 × 4,431
  4. Step 4: Simplify right side
    11,356.44x = 75,491,744.58
  5. Step 5: Solve for x
    x = 75,491,744.58/11,356.44
  6. Step 6: Final answer
    x = 6,647.48

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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.