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Finding the Fourth Proportional to 11,623.60, 17,440.80 and 6,083.20

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Solution

The fourth proportional to 11,623.60, 17,440.80 and 6,083.20 is: 9,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.60 : 17,440.80 = 6,083.20 : x
  2. Step 2: Convert to fraction form
    11,623.60/17,440.80 = 6,083.20/x
  3. Step 3: Cross multiply
    11,623.60x = 17,440.80 × 6,083.20
  4. Step 4: Simplify right side
    11,623.60x = 106,095,874.56
  5. Step 5: Solve for x
    x = 106,095,874.56/11,623.60
  6. Step 6: Final answer
    x = 9,127.63

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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.