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Finding the Fourth Proportional to 12,137, 18,212.58 and 5,116.58

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Solution

The fourth proportional to 12,137, 18,212.58 and 5,116.58 is: 7,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137 : 18,212.58 = 5,116.58 : x
  2. Step 2: Convert to fraction form
    12,137/18,212.58 = 5,116.58/x
  3. Step 3: Cross multiply
    12,137x = 18,212.58 × 5,116.58
  4. Step 4: Simplify right side
    12,137x = 93,186,096.99
  5. Step 5: Solve for x
    x = 93,186,096.99/12,137
  6. Step 6: Final answer
    x = 7,677.85

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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.