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Finding the Fourth Proportional to 11,588.64, 15,993.24 and 6,553.91

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Solution

The fourth proportional to 11,588.64, 15,993.24 and 6,553.91 is: 9,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.64 : 15,993.24 = 6,553.91 : x
  2. Step 2: Convert to fraction form
    11,588.64/15,993.24 = 6,553.91/x
  3. Step 3: Cross multiply
    11,588.64x = 15,993.24 × 6,553.91
  4. Step 4: Simplify right side
    11,588.64x = 104,818,175.60
  5. Step 5: Solve for x
    x = 104,818,175.60/11,588.64
  6. Step 6: Final answer
    x = 9,044.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.