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Finding the Fourth Proportional to 7,914.20, 11,863.20 and 4,625.60

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Solution

The fourth proportional to 7,914.20, 11,863.20 and 4,625.60 is: 6,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.20 : 11,863.20 = 4,625.60 : x
  2. Step 2: Convert to fraction form
    7,914.20/11,863.20 = 4,625.60/x
  3. Step 3: Cross multiply
    7,914.20x = 11,863.20 × 4,625.60
  4. Step 4: Simplify right side
    7,914.20x = 54,874,417.92
  5. Step 5: Solve for x
    x = 54,874,417.92/7,914.20
  6. Step 6: Final answer
    x = 6,933.67

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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.