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Finding the Fourth Proportional to 8,741.14, 13,099.41 and 4,782.22

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Solution

The fourth proportional to 8,741.14, 13,099.41 and 4,782.22 is: 7,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.14 : 13,099.41 = 4,782.22 : x
  2. Step 2: Convert to fraction form
    8,741.14/13,099.41 = 4,782.22/x
  3. Step 3: Cross multiply
    8,741.14x = 13,099.41 × 4,782.22
  4. Step 4: Simplify right side
    8,741.14x = 62,644,227.74
  5. Step 5: Solve for x
    x = 62,644,227.74/8,741.14
  6. Step 6: Final answer
    x = 7,166.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.