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Finding the Fourth Proportional to 11,376.24, 17,035.86 and 7,203.66

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Solution

The fourth proportional to 11,376.24, 17,035.86 and 7,203.66 is: 10,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.24 : 17,035.86 = 7,203.66 : x
  2. Step 2: Convert to fraction form
    11,376.24/17,035.86 = 7,203.66/x
  3. Step 3: Cross multiply
    11,376.24x = 17,035.86 × 7,203.66
  4. Step 4: Simplify right side
    11,376.24x = 122,720,543.25
  5. Step 5: Solve for x
    x = 122,720,543.25/11,376.24
  6. Step 6: Final answer
    x = 10,787.44

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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.