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Finding the Fourth Proportional to 8,802.21, 13,171.85 and 7,645.84

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Solution

The fourth proportional to 8,802.21, 13,171.85 and 7,645.84 is: 11,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,802.21 : 13,171.85 = 7,645.84 : x
  2. Step 2: Convert to fraction form
    8,802.21/13,171.85 = 7,645.84/x
  3. Step 3: Cross multiply
    8,802.21x = 13,171.85 × 7,645.84
  4. Step 4: Simplify right side
    8,802.21x = 100,709,791.74
  5. Step 5: Solve for x
    x = 100,709,791.74/8,802.21
  6. Step 6: Final answer
    x = 11,441.43

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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.