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Finding the Fourth Proportional to 7,897.33, 11,842.55 and 4,198.67

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Solution

The fourth proportional to 7,897.33, 11,842.55 and 4,198.67 is: 6,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.33 : 11,842.55 = 4,198.67 : x
  2. Step 2: Convert to fraction form
    7,897.33/11,842.55 = 4,198.67/x
  3. Step 3: Cross multiply
    7,897.33x = 11,842.55 × 4,198.67
  4. Step 4: Simplify right side
    7,897.33x = 49,722,959.41
  5. Step 5: Solve for x
    x = 49,722,959.41/7,897.33
  6. Step 6: Final answer
    x = 6,296.17

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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.