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Finding the Fourth Proportional to 7,105.85, 10,661.85 and 3,815.10

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Solution

The fourth proportional to 7,105.85, 10,661.85 and 3,815.10 is: 5,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.85 : 10,661.85 = 3,815.10 : x
  2. Step 2: Convert to fraction form
    7,105.85/10,661.85 = 3,815.10/x
  3. Step 3: Cross multiply
    7,105.85x = 10,661.85 × 3,815.10
  4. Step 4: Simplify right side
    7,105.85x = 40,676,004.86
  5. Step 5: Solve for x
    x = 40,676,004.86/7,105.85
  6. Step 6: Final answer
    x = 5,724.30

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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.