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Finding the Fourth Proportional to 11,418.64, 17,137.68 and 4,498

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Solution

The fourth proportional to 11,418.64, 17,137.68 and 4,498 is: 6,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.64 : 17,137.68 = 4,498 : x
  2. Step 2: Convert to fraction form
    11,418.64/17,137.68 = 4,498/x
  3. Step 3: Cross multiply
    11,418.64x = 17,137.68 × 4,498
  4. Step 4: Simplify right side
    11,418.64x = 77,085,284.64
  5. Step 5: Solve for x
    x = 77,085,284.64/11,418.64
  6. Step 6: Final answer
    x = 6,750.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.