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Finding the Fourth Proportional to 10,550.25, 15,823.22 and 5,353.29

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Solution

The fourth proportional to 10,550.25, 15,823.22 and 5,353.29 is: 8,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.25 : 15,823.22 = 5,353.29 : x
  2. Step 2: Convert to fraction form
    10,550.25/15,823.22 = 5,353.29/x
  3. Step 3: Cross multiply
    10,550.25x = 15,823.22 × 5,353.29
  4. Step 4: Simplify right side
    10,550.25x = 84,706,258.63
  5. Step 5: Solve for x
    x = 84,706,258.63/10,550.25
  6. Step 6: Final answer
    x = 8,028.84

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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.