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Finding the Fourth Proportional to 6,610.10, 9,911.10 and 3,835.40

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Solution

The fourth proportional to 6,610.10, 9,911.10 and 3,835.40 is: 5,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.10 : 9,911.10 = 3,835.40 : x
  2. Step 2: Convert to fraction form
    6,610.10/9,911.10 = 3,835.40/x
  3. Step 3: Cross multiply
    6,610.10x = 9,911.10 × 3,835.40
  4. Step 4: Simplify right side
    6,610.10x = 38,013,032.94
  5. Step 5: Solve for x
    x = 38,013,032.94/6,610.10
  6. Step 6: Final answer
    x = 5,750.75

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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.