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Finding the Fourth Proportional to 8,109.41, 11,158.49 and 6,220.24

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Solution

The fourth proportional to 8,109.41, 11,158.49 and 6,220.24 is: 8,559.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.41 : 11,158.49 = 6,220.24 : x
  2. Step 2: Convert to fraction form
    8,109.41/11,158.49 = 6,220.24/x
  3. Step 3: Cross multiply
    8,109.41x = 11,158.49 × 6,220.24
  4. Step 4: Simplify right side
    8,109.41x = 69,408,430.05
  5. Step 5: Solve for x
    x = 69,408,430.05/8,109.41
  6. Step 6: Final answer
    x = 8,559.00

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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.