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Finding the Fourth Proportional to 12,706.08, 19,064.58 and 6,137.19

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Solution

The fourth proportional to 12,706.08, 19,064.58 and 6,137.19 is: 9,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.08 : 19,064.58 = 6,137.19 : x
  2. Step 2: Convert to fraction form
    12,706.08/19,064.58 = 6,137.19/x
  3. Step 3: Cross multiply
    12,706.08x = 19,064.58 × 6,137.19
  4. Step 4: Simplify right side
    12,706.08x = 117,002,949.73
  5. Step 5: Solve for x
    x = 117,002,949.73/12,706.08
  6. Step 6: Final answer
    x = 9,208.42

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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.