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Finding the Fourth Proportional to 11,416.63, 17,097.27 and 7,896.76

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Solution

The fourth proportional to 11,416.63, 17,097.27 and 7,896.76 is: 11,825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.63 : 17,097.27 = 7,896.76 : x
  2. Step 2: Convert to fraction form
    11,416.63/17,097.27 = 7,896.76/x
  3. Step 3: Cross multiply
    11,416.63x = 17,097.27 × 7,896.76
  4. Step 4: Simplify right side
    11,416.63x = 135,012,965.49
  5. Step 5: Solve for x
    x = 135,012,965.49/11,416.63
  6. Step 6: Final answer
    x = 11,825.99

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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.