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Finding the Fourth Proportional to 11,902.87, 17,852.86 and 3,138.45

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Solution

The fourth proportional to 11,902.87, 17,852.86 and 3,138.45 is: 4,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.87 : 17,852.86 = 3,138.45 : x
  2. Step 2: Convert to fraction form
    11,902.87/17,852.86 = 3,138.45/x
  3. Step 3: Cross multiply
    11,902.87x = 17,852.86 × 3,138.45
  4. Step 4: Simplify right side
    11,902.87x = 56,030,308.47
  5. Step 5: Solve for x
    x = 56,030,308.47/11,902.87
  6. Step 6: Final answer
    x = 4,707.29

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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.