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Finding the Fourth Proportional to 8,094.33, 12,142.71 and 3,712.23

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Solution

The fourth proportional to 8,094.33, 12,142.71 and 3,712.23 is: 5,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.33 : 12,142.71 = 3,712.23 : x
  2. Step 2: Convert to fraction form
    8,094.33/12,142.71 = 3,712.23/x
  3. Step 3: Cross multiply
    8,094.33x = 12,142.71 × 3,712.23
  4. Step 4: Simplify right side
    8,094.33x = 45,076,532.34
  5. Step 5: Solve for x
    x = 45,076,532.34/8,094.33
  6. Step 6: Final answer
    x = 5,568.90

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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.