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Finding the Fourth Proportional to 8,446.13, 12,661.60 and 5,152.20

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Solution

The fourth proportional to 8,446.13, 12,661.60 and 5,152.20 is: 7,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.13 : 12,661.60 = 5,152.20 : x
  2. Step 2: Convert to fraction form
    8,446.13/12,661.60 = 5,152.20/x
  3. Step 3: Cross multiply
    8,446.13x = 12,661.60 × 5,152.20
  4. Step 4: Simplify right side
    8,446.13x = 65,235,095.52
  5. Step 5: Solve for x
    x = 65,235,095.52/8,446.13
  6. Step 6: Final answer
    x = 7,723.67

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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.