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Finding the Fourth Proportional to 11,175.10, 16,819.37 and 8,415.70

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Solution

The fourth proportional to 11,175.10, 16,819.37 and 8,415.70 is: 12,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.10 : 16,819.37 = 8,415.70 : x
  2. Step 2: Convert to fraction form
    11,175.10/16,819.37 = 8,415.70/x
  3. Step 3: Cross multiply
    11,175.10x = 16,819.37 × 8,415.70
  4. Step 4: Simplify right side
    11,175.10x = 141,546,772.11
  5. Step 5: Solve for x
    x = 141,546,772.11/11,175.10
  6. Step 6: Final answer
    x = 12,666.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.