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Finding the Fourth Proportional to 12,410.37, 18,616.50 and 4,619.25

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Solution

The fourth proportional to 12,410.37, 18,616.50 and 4,619.25 is: 6,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.37 : 18,616.50 = 4,619.25 : x
  2. Step 2: Convert to fraction form
    12,410.37/18,616.50 = 4,619.25/x
  3. Step 3: Cross multiply
    12,410.37x = 18,616.50 × 4,619.25
  4. Step 4: Simplify right side
    12,410.37x = 85,994,267.63
  5. Step 5: Solve for x
    x = 85,994,267.63/12,410.37
  6. Step 6: Final answer
    x = 6,929.23

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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.