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Finding the Fourth Proportional to 11,355.83, 17,012.24 and 6,410.44

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Solution

The fourth proportional to 11,355.83, 17,012.24 and 6,410.44 is: 9,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.83 : 17,012.24 = 6,410.44 : x
  2. Step 2: Convert to fraction form
    11,355.83/17,012.24 = 6,410.44/x
  3. Step 3: Cross multiply
    11,355.83x = 17,012.24 × 6,410.44
  4. Step 4: Simplify right side
    11,355.83x = 109,055,826.67
  5. Step 5: Solve for x
    x = 109,055,826.67/11,355.83
  6. Step 6: Final answer
    x = 9,603.51

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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.