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Finding the Fourth Proportional to 8,114.89, 11,199.07 and 4,578.02

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Solution

The fourth proportional to 8,114.89, 11,199.07 and 4,578.02 is: 6,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.89 : 11,199.07 = 4,578.02 : x
  2. Step 2: Convert to fraction form
    8,114.89/11,199.07 = 4,578.02/x
  3. Step 3: Cross multiply
    8,114.89x = 11,199.07 × 4,578.02
  4. Step 4: Simplify right side
    8,114.89x = 51,269,543.55
  5. Step 5: Solve for x
    x = 51,269,543.55/8,114.89
  6. Step 6: Final answer
    x = 6,317.96

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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.