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Finding the Fourth Proportional to 7,897.14, 11,846.43 and 5,842.62

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Solution

The fourth proportional to 7,897.14, 11,846.43 and 5,842.62 is: 8,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.14 : 11,846.43 = 5,842.62 : x
  2. Step 2: Convert to fraction form
    7,897.14/11,846.43 = 5,842.62/x
  3. Step 3: Cross multiply
    7,897.14x = 11,846.43 × 5,842.62
  4. Step 4: Simplify right side
    7,897.14x = 69,214,188.85
  5. Step 5: Solve for x
    x = 69,214,188.85/7,897.14
  6. Step 6: Final answer
    x = 8,764.46

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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.