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Finding the Fourth Proportional to 11,177.84, 16,744.76 and 7,427.14

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Solution

The fourth proportional to 11,177.84, 16,744.76 and 7,427.14 is: 11,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.84 : 16,744.76 = 7,427.14 : x
  2. Step 2: Convert to fraction form
    11,177.84/16,744.76 = 7,427.14/x
  3. Step 3: Cross multiply
    11,177.84x = 16,744.76 × 7,427.14
  4. Step 4: Simplify right side
    11,177.84x = 124,365,676.79
  5. Step 5: Solve for x
    x = 124,365,676.79/11,177.84
  6. Step 6: Final answer
    x = 11,126.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.