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Finding the Fourth Proportional to 11,297.60, 16,941.48 and 3,900.08

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Solution

The fourth proportional to 11,297.60, 16,941.48 and 3,900.08 is: 5,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.60 : 16,941.48 = 3,900.08 : x
  2. Step 2: Convert to fraction form
    11,297.60/16,941.48 = 3,900.08/x
  3. Step 3: Cross multiply
    11,297.60x = 16,941.48 × 3,900.08
  4. Step 4: Simplify right side
    11,297.60x = 66,073,127.32
  5. Step 5: Solve for x
    x = 66,073,127.32/11,297.60
  6. Step 6: Final answer
    x = 5,848.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.