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Finding the Fourth Proportional to 11,898.42, 17,847.93 and 4,001.06

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Solution

The fourth proportional to 11,898.42, 17,847.93 and 4,001.06 is: 6,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.42 : 17,847.93 = 4,001.06 : x
  2. Step 2: Convert to fraction form
    11,898.42/17,847.93 = 4,001.06/x
  3. Step 3: Cross multiply
    11,898.42x = 17,847.93 × 4,001.06
  4. Step 4: Simplify right side
    11,898.42x = 71,410,638.81
  5. Step 5: Solve for x
    x = 71,410,638.81/11,898.42
  6. Step 6: Final answer
    x = 6,001.69

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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.