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Finding the Fourth Proportional to 11,838.96, 17,758.44 and 4,442.80

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Solution

The fourth proportional to 11,838.96, 17,758.44 and 4,442.80 is: 6,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.96 : 17,758.44 = 4,442.80 : x
  2. Step 2: Convert to fraction form
    11,838.96/17,758.44 = 4,442.80/x
  3. Step 3: Cross multiply
    11,838.96x = 17,758.44 × 4,442.80
  4. Step 4: Simplify right side
    11,838.96x = 78,897,186.13
  5. Step 5: Solve for x
    x = 78,897,186.13/11,838.96
  6. Step 6: Final answer
    x = 6,664.20

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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.