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Finding the Fourth Proportional to 11,160.84, 16,735.16 and 7,211.54

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Solution

The fourth proportional to 11,160.84, 16,735.16 and 7,211.54 is: 10,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,160.84 : 16,735.16 = 7,211.54 : x
  2. Step 2: Convert to fraction form
    11,160.84/16,735.16 = 7,211.54/x
  3. Step 3: Cross multiply
    11,160.84x = 16,735.16 × 7,211.54
  4. Step 4: Simplify right side
    11,160.84x = 120,686,275.75
  5. Step 5: Solve for x
    x = 120,686,275.75/11,160.84
  6. Step 6: Final answer
    x = 10,813.37

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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.