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Finding the Fourth Proportional to 11,913.42, 17,857.63 and 4,013.20

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Solution

The fourth proportional to 11,913.42, 17,857.63 and 4,013.20 is: 6,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.42 : 17,857.63 = 4,013.20 : x
  2. Step 2: Convert to fraction form
    11,913.42/17,857.63 = 4,013.20/x
  3. Step 3: Cross multiply
    11,913.42x = 17,857.63 × 4,013.20
  4. Step 4: Simplify right side
    11,913.42x = 71,666,240.72
  5. Step 5: Solve for x
    x = 71,666,240.72/11,913.42
  6. Step 6: Final answer
    x = 6,015.59

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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.