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Finding the Fourth Proportional to 11,612.40, 17,411.40 and 6,679.60

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Solution

The fourth proportional to 11,612.40, 17,411.40 and 6,679.60 is: 10,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.40 : 17,411.40 = 6,679.60 : x
  2. Step 2: Convert to fraction form
    11,612.40/17,411.40 = 6,679.60/x
  3. Step 3: Cross multiply
    11,612.40x = 17,411.40 × 6,679.60
  4. Step 4: Simplify right side
    11,612.40x = 116,301,187.44
  5. Step 5: Solve for x
    x = 116,301,187.44/11,612.40
  6. Step 6: Final answer
    x = 10,015.26

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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.