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Finding the Fourth Proportional to 12,977.87, 19,467 and 5,079.96

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Solution

The fourth proportional to 12,977.87, 19,467 and 5,079.96 is: 7,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,977.87 : 19,467 = 5,079.96 : x
  2. Step 2: Convert to fraction form
    12,977.87/19,467 = 5,079.96/x
  3. Step 3: Cross multiply
    12,977.87x = 19,467 × 5,079.96
  4. Step 4: Simplify right side
    12,977.87x = 98,891,581.32
  5. Step 5: Solve for x
    x = 98,891,581.32/12,977.87
  6. Step 6: Final answer
    x = 7,620.02

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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.