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Finding the Fourth Proportional to 12,806.08, 19,211.11 and 5,410.58

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Solution

The fourth proportional to 12,806.08, 19,211.11 and 5,410.58 is: 8,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.08 : 19,211.11 = 5,410.58 : x
  2. Step 2: Convert to fraction form
    12,806.08/19,211.11 = 5,410.58/x
  3. Step 3: Cross multiply
    12,806.08x = 19,211.11 × 5,410.58
  4. Step 4: Simplify right side
    12,806.08x = 103,943,137.96
  5. Step 5: Solve for x
    x = 103,943,137.96/12,806.08
  6. Step 6: Final answer
    x = 8,116.70

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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.