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Finding the Fourth Proportional to 8,102.94, 12,154.41 and 2,630.94

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Solution

The fourth proportional to 8,102.94, 12,154.41 and 2,630.94 is: 3,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.94 : 12,154.41 = 2,630.94 : x
  2. Step 2: Convert to fraction form
    8,102.94/12,154.41 = 2,630.94/x
  3. Step 3: Cross multiply
    8,102.94x = 12,154.41 × 2,630.94
  4. Step 4: Simplify right side
    8,102.94x = 31,977,483.19
  5. Step 5: Solve for x
    x = 31,977,483.19/8,102.94
  6. Step 6: Final answer
    x = 3,946.41

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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.