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Finding the Fourth Proportional to 8,247.54, 11,381.64 and 4,470.76

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Solution

The fourth proportional to 8,247.54, 11,381.64 and 4,470.76 is: 6,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.54 : 11,381.64 = 4,470.76 : x
  2. Step 2: Convert to fraction form
    8,247.54/11,381.64 = 4,470.76/x
  3. Step 3: Cross multiply
    8,247.54x = 11,381.64 × 4,470.76
  4. Step 4: Simplify right side
    8,247.54x = 50,884,580.85
  5. Step 5: Solve for x
    x = 50,884,580.85/8,247.54
  6. Step 6: Final answer
    x = 6,169.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.