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Finding the Fourth Proportional to 11,902.59, 17,852.64 and 3,137.58

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Solution

The fourth proportional to 11,902.59, 17,852.64 and 3,137.58 is: 4,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.59 : 17,852.64 = 3,137.58 : x
  2. Step 2: Convert to fraction form
    11,902.59/17,852.64 = 3,137.58/x
  3. Step 3: Cross multiply
    11,902.59x = 17,852.64 × 3,137.58
  4. Step 4: Simplify right side
    11,902.59x = 56,014,086.21
  5. Step 5: Solve for x
    x = 56,014,086.21/11,902.59
  6. Step 6: Final answer
    x = 4,706.04

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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.