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Finding the Fourth Proportional to 11,141.16, 16,700.76 and 6,213.12

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Solution

The fourth proportional to 11,141.16, 16,700.76 and 6,213.12 is: 9,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.16 : 16,700.76 = 6,213.12 : x
  2. Step 2: Convert to fraction form
    11,141.16/16,700.76 = 6,213.12/x
  3. Step 3: Cross multiply
    11,141.16x = 16,700.76 × 6,213.12
  4. Step 4: Simplify right side
    11,141.16x = 103,763,825.97
  5. Step 5: Solve for x
    x = 103,763,825.97/11,141.16
  6. Step 6: Final answer
    x = 9,313.56

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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.