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Finding the Fourth Proportional to 8,243.89, 11,378.63 and 4,709.15

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Solution

The fourth proportional to 8,243.89, 11,378.63 and 4,709.15 is: 6,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.89 : 11,378.63 = 4,709.15 : x
  2. Step 2: Convert to fraction form
    8,243.89/11,378.63 = 4,709.15/x
  3. Step 3: Cross multiply
    8,243.89x = 11,378.63 × 4,709.15
  4. Step 4: Simplify right side
    8,243.89x = 53,583,595.03
  5. Step 5: Solve for x
    x = 53,583,595.03/8,243.89
  6. Step 6: Final answer
    x = 6,499.80

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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.