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Finding the Fourth Proportional to 11,415.98, 17,091.10 and 8,434.37

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Solution

The fourth proportional to 11,415.98, 17,091.10 and 8,434.37 is: 12,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.98 : 17,091.10 = 8,434.37 : x
  2. Step 2: Convert to fraction form
    11,415.98/17,091.10 = 8,434.37/x
  3. Step 3: Cross multiply
    11,415.98x = 17,091.10 × 8,434.37
  4. Step 4: Simplify right side
    11,415.98x = 144,152,714.38
  5. Step 5: Solve for x
    x = 144,152,714.38/11,415.98
  6. Step 6: Final answer
    x = 12,627.27

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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.