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Finding the Fourth Proportional to 11,657.49, 16,093.43 and 9,064.68

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Solution

The fourth proportional to 11,657.49, 16,093.43 and 9,064.68 is: 12,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.49 : 16,093.43 = 9,064.68 : x
  2. Step 2: Convert to fraction form
    11,657.49/16,093.43 = 9,064.68/x
  3. Step 3: Cross multiply
    11,657.49x = 16,093.43 × 9,064.68
  4. Step 4: Simplify right side
    11,657.49x = 145,881,747.73
  5. Step 5: Solve for x
    x = 145,881,747.73/11,657.49
  6. Step 6: Final answer
    x = 12,513.99

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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.