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Finding the Fourth Proportional to 8,283.44, 12,408.76 and 5,363.80

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Solution

The fourth proportional to 8,283.44, 12,408.76 and 5,363.80 is: 8,035.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.44 : 12,408.76 = 5,363.80 : x
  2. Step 2: Convert to fraction form
    8,283.44/12,408.76 = 5,363.80/x
  3. Step 3: Cross multiply
    8,283.44x = 12,408.76 × 5,363.80
  4. Step 4: Simplify right side
    8,283.44x = 66,558,106.89
  5. Step 5: Solve for x
    x = 66,558,106.89/8,283.44
  6. Step 6: Final answer
    x = 8,035.08

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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.