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Finding the Fourth Proportional to 8,189.47, 11,301.50 and 4,786.67

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Solution

The fourth proportional to 8,189.47, 11,301.50 and 4,786.67 is: 6,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.47 : 11,301.50 = 4,786.67 : x
  2. Step 2: Convert to fraction form
    8,189.47/11,301.50 = 4,786.67/x
  3. Step 3: Cross multiply
    8,189.47x = 11,301.50 × 4,786.67
  4. Step 4: Simplify right side
    8,189.47x = 54,096,591.23
  5. Step 5: Solve for x
    x = 54,096,591.23/8,189.47
  6. Step 6: Final answer
    x = 6,605.63

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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.