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Finding the Fourth Proportional to 6,207.60, 9,311.40 and 1,825.11

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Solution

The fourth proportional to 6,207.60, 9,311.40 and 1,825.11 is: 2,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.60 : 9,311.40 = 1,825.11 : x
  2. Step 2: Convert to fraction form
    6,207.60/9,311.40 = 1,825.11/x
  3. Step 3: Cross multiply
    6,207.60x = 9,311.40 × 1,825.11
  4. Step 4: Simplify right side
    6,207.60x = 16,994,329.25
  5. Step 5: Solve for x
    x = 16,994,329.25/6,207.60
  6. Step 6: Final answer
    x = 2,737.67

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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.