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Finding the Fourth Proportional to 11,800.14, 17,702.94 and 4,008.96

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Solution

The fourth proportional to 11,800.14, 17,702.94 and 4,008.96 is: 6,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.14 : 17,702.94 = 4,008.96 : x
  2. Step 2: Convert to fraction form
    11,800.14/17,702.94 = 4,008.96/x
  3. Step 3: Cross multiply
    11,800.14x = 17,702.94 × 4,008.96
  4. Step 4: Simplify right side
    11,800.14x = 70,970,378.34
  5. Step 5: Solve for x
    x = 70,970,378.34/11,800.14
  6. Step 6: Final answer
    x = 6,014.37

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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.