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Finding the Fourth Proportional to 7,897.96, 11,850.72 and 4,002.94

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Solution

The fourth proportional to 7,897.96, 11,850.72 and 4,002.94 is: 6,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.96 : 11,850.72 = 4,002.94 : x
  2. Step 2: Convert to fraction form
    7,897.96/11,850.72 = 4,002.94/x
  3. Step 3: Cross multiply
    7,897.96x = 11,850.72 × 4,002.94
  4. Step 4: Simplify right side
    7,897.96x = 47,437,721.12
  5. Step 5: Solve for x
    x = 47,437,721.12/7,897.96
  6. Step 6: Final answer
    x = 6,006.33

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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.