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Finding the Fourth Proportional to 11,314, 16,971.03 and 3,522.82

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Solution

The fourth proportional to 11,314, 16,971.03 and 3,522.82 is: 5,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314 : 16,971.03 = 3,522.82 : x
  2. Step 2: Convert to fraction form
    11,314/16,971.03 = 3,522.82/x
  3. Step 3: Cross multiply
    11,314x = 16,971.03 × 3,522.82
  4. Step 4: Simplify right side
    11,314x = 59,785,883.90
  5. Step 5: Solve for x
    x = 59,785,883.90/11,314
  6. Step 6: Final answer
    x = 5,284.24

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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.