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Finding the Fourth Proportional to 11,897.98, 17,847.00 and 3,013.30

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Solution

The fourth proportional to 11,897.98, 17,847.00 and 3,013.30 is: 4,519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.98 : 17,847.00 = 3,013.30 : x
  2. Step 2: Convert to fraction form
    11,897.98/17,847.00 = 3,013.30/x
  3. Step 3: Cross multiply
    11,897.98x = 17,847.00 × 3,013.30
  4. Step 4: Simplify right side
    11,897.98x = 53,778,394.94
  5. Step 5: Solve for x
    x = 53,778,394.94/11,897.98
  6. Step 6: Final answer
    x = 4,519.96

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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.