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Finding the Fourth Proportional to 8,132.64, 12,199.02 and 2,938.50

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Solution

The fourth proportional to 8,132.64, 12,199.02 and 2,938.50 is: 4,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.64 : 12,199.02 = 2,938.50 : x
  2. Step 2: Convert to fraction form
    8,132.64/12,199.02 = 2,938.50/x
  3. Step 3: Cross multiply
    8,132.64x = 12,199.02 × 2,938.50
  4. Step 4: Simplify right side
    8,132.64x = 35,846,820.27
  5. Step 5: Solve for x
    x = 35,846,820.27/8,132.64
  6. Step 6: Final answer
    x = 4,407.77

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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.