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Finding the Fourth Proportional to 11,630.40, 17,444.40 and 3,840.48

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Solution

The fourth proportional to 11,630.40, 17,444.40 and 3,840.48 is: 5,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.40 : 17,444.40 = 3,840.48 : x
  2. Step 2: Convert to fraction form
    11,630.40/17,444.40 = 3,840.48/x
  3. Step 3: Cross multiply
    11,630.40x = 17,444.40 × 3,840.48
  4. Step 4: Simplify right side
    11,630.40x = 66,994,869.31
  5. Step 5: Solve for x
    x = 66,994,869.31/11,630.40
  6. Step 6: Final answer
    x = 5,760.32

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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.