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Finding the Fourth Proportional to 11,634.72, 16,054.65 and 7,165.14

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Solution

The fourth proportional to 11,634.72, 16,054.65 and 7,165.14 is: 9,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.72 : 16,054.65 = 7,165.14 : x
  2. Step 2: Convert to fraction form
    11,634.72/16,054.65 = 7,165.14/x
  3. Step 3: Cross multiply
    11,634.72x = 16,054.65 × 7,165.14
  4. Step 4: Simplify right side
    11,634.72x = 115,033,814.90
  5. Step 5: Solve for x
    x = 115,033,814.90/11,634.72
  6. Step 6: Final answer
    x = 9,887.12

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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.