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Finding the Fourth Proportional to 7,897.89, 11,838.33 and 4,002.60

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Solution

The fourth proportional to 7,897.89, 11,838.33 and 4,002.60 is: 5,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.89 : 11,838.33 = 4,002.60 : x
  2. Step 2: Convert to fraction form
    7,897.89/11,838.33 = 4,002.60/x
  3. Step 3: Cross multiply
    7,897.89x = 11,838.33 × 4,002.60
  4. Step 4: Simplify right side
    7,897.89x = 47,384,099.66
  5. Step 5: Solve for x
    x = 47,384,099.66/7,897.89
  6. Step 6: Final answer
    x = 5,999.59

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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.