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Finding the Fourth Proportional to 8,138, 12,199.76 and 2,942.72

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Solution

The fourth proportional to 8,138, 12,199.76 and 2,942.72 is: 4,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138 : 12,199.76 = 2,942.72 : x
  2. Step 2: Convert to fraction form
    8,138/12,199.76 = 2,942.72/x
  3. Step 3: Cross multiply
    8,138x = 12,199.76 × 2,942.72
  4. Step 4: Simplify right side
    8,138x = 35,900,477.75
  5. Step 5: Solve for x
    x = 35,900,477.75/8,138
  6. Step 6: Final answer
    x = 4,411.46

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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.