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Finding the Fourth Proportional to 10,223.25, 15,334.02 and 2,827.80

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Solution

The fourth proportional to 10,223.25, 15,334.02 and 2,827.80 is: 4,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.25 : 15,334.02 = 2,827.80 : x
  2. Step 2: Convert to fraction form
    10,223.25/15,334.02 = 2,827.80/x
  3. Step 3: Cross multiply
    10,223.25x = 15,334.02 × 2,827.80
  4. Step 4: Simplify right side
    10,223.25x = 43,361,541.76
  5. Step 5: Solve for x
    x = 43,361,541.76/10,223.25
  6. Step 6: Final answer
    x = 4,241.46

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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.