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Finding the Fourth Proportional to 11,380.16, 17,070.24 and 3,588.97

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Solution

The fourth proportional to 11,380.16, 17,070.24 and 3,588.97 is: 5,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.16 : 17,070.24 = 3,588.97 : x
  2. Step 2: Convert to fraction form
    11,380.16/17,070.24 = 3,588.97/x
  3. Step 3: Cross multiply
    11,380.16x = 17,070.24 × 3,588.97
  4. Step 4: Simplify right side
    11,380.16x = 61,264,561.31
  5. Step 5: Solve for x
    x = 61,264,561.31/11,380.16
  6. Step 6: Final answer
    x = 5,383.46

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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.