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Finding the Fourth Proportional to 11,093.71, 16,544.34 and 9,460.75

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Solution

The fourth proportional to 11,093.71, 16,544.34 and 9,460.75 is: 14,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.71 : 16,544.34 = 9,460.75 : x
  2. Step 2: Convert to fraction form
    11,093.71/16,544.34 = 9,460.75/x
  3. Step 3: Cross multiply
    11,093.71x = 16,544.34 × 9,460.75
  4. Step 4: Simplify right side
    11,093.71x = 156,521,864.66
  5. Step 5: Solve for x
    x = 156,521,864.66/11,093.71
  6. Step 6: Final answer
    x = 14,109.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.