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Finding the Fourth Proportional to 11,417.05, 17,092.76 and 8,435.44

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Solution

The fourth proportional to 11,417.05, 17,092.76 and 8,435.44 is: 12,628.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.05 : 17,092.76 = 8,435.44 : x
  2. Step 2: Convert to fraction form
    11,417.05/17,092.76 = 8,435.44/x
  3. Step 3: Cross multiply
    11,417.05x = 17,092.76 × 8,435.44
  4. Step 4: Simplify right side
    11,417.05x = 144,184,887.04
  5. Step 5: Solve for x
    x = 144,184,887.04/11,417.05
  6. Step 6: Final answer
    x = 12,628.91

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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.