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Finding the Fourth Proportional to 10,813.20, 14,922.21 and 5,845.20

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Solution

The fourth proportional to 10,813.20, 14,922.21 and 5,845.20 is: 8,066.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.20 : 14,922.21 = 5,845.20 : x
  2. Step 2: Convert to fraction form
    10,813.20/14,922.21 = 5,845.20/x
  3. Step 3: Cross multiply
    10,813.20x = 14,922.21 × 5,845.20
  4. Step 4: Simplify right side
    10,813.20x = 87,223,301.89
  5. Step 5: Solve for x
    x = 87,223,301.89/10,813.20
  6. Step 6: Final answer
    x = 8,066.37

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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.