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Finding the Fourth Proportional to 8,283.52, 12,424.02 and 2,360.80

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Solution

The fourth proportional to 8,283.52, 12,424.02 and 2,360.80 is: 3,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.52 : 12,424.02 = 2,360.80 : x
  2. Step 2: Convert to fraction form
    8,283.52/12,424.02 = 2,360.80/x
  3. Step 3: Cross multiply
    8,283.52x = 12,424.02 × 2,360.80
  4. Step 4: Simplify right side
    8,283.52x = 29,330,626.42
  5. Step 5: Solve for x
    x = 29,330,626.42/8,283.52
  6. Step 6: Final answer
    x = 3,540.84

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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.