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Finding the Fourth Proportional to 8,804.16, 13,202.64 and 3,806.82

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Solution

The fourth proportional to 8,804.16, 13,202.64 and 3,806.82 is: 5,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,804.16 : 13,202.64 = 3,806.82 : x
  2. Step 2: Convert to fraction form
    8,804.16/13,202.64 = 3,806.82/x
  3. Step 3: Cross multiply
    8,804.16x = 13,202.64 × 3,806.82
  4. Step 4: Simplify right side
    8,804.16x = 50,260,074.00
  5. Step 5: Solve for x
    x = 50,260,074.00/8,804.16
  6. Step 6: Final answer
    x = 5,708.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.