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Finding the Fourth Proportional to 12,094.11, 16,697.75 and 7,381.13

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Solution

The fourth proportional to 12,094.11, 16,697.75 and 7,381.13 is: 10,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.11 : 16,697.75 = 7,381.13 : x
  2. Step 2: Convert to fraction form
    12,094.11/16,697.75 = 7,381.13/x
  3. Step 3: Cross multiply
    12,094.11x = 16,697.75 × 7,381.13
  4. Step 4: Simplify right side
    12,094.11x = 123,248,143.06
  5. Step 5: Solve for x
    x = 123,248,143.06/12,094.11
  6. Step 6: Final answer
    x = 10,190.76

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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.