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Finding the Fourth Proportional to 11,892.54, 16,409.34 and 7,177.08

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Solution

The fourth proportional to 11,892.54, 16,409.34 and 7,177.08 is: 9,902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.54 : 16,409.34 = 7,177.08 : x
  2. Step 2: Convert to fraction form
    11,892.54/16,409.34 = 7,177.08/x
  3. Step 3: Cross multiply
    11,892.54x = 16,409.34 × 7,177.08
  4. Step 4: Simplify right side
    11,892.54x = 117,771,145.93
  5. Step 5: Solve for x
    x = 117,771,145.93/11,892.54
  6. Step 6: Final answer
    x = 9,902.94

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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.