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Finding the Fourth Proportional to 11,504.04, 15,874.08 and 6,467.46

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Solution

The fourth proportional to 11,504.04, 15,874.08 and 6,467.46 is: 8,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.04 : 15,874.08 = 6,467.46 : x
  2. Step 2: Convert to fraction form
    11,504.04/15,874.08 = 6,467.46/x
  3. Step 3: Cross multiply
    11,504.04x = 15,874.08 × 6,467.46
  4. Step 4: Simplify right side
    11,504.04x = 102,664,977.44
  5. Step 5: Solve for x
    x = 102,664,977.44/11,504.04
  6. Step 6: Final answer
    x = 8,924.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.