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Finding the Fourth Proportional to 7,894.67, 11,841.99 and 2,348.00

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Solution

The fourth proportional to 7,894.67, 11,841.99 and 2,348.00 is: 3,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.67 : 11,841.99 = 2,348.00 : x
  2. Step 2: Convert to fraction form
    7,894.67/11,841.99 = 2,348.00/x
  3. Step 3: Cross multiply
    7,894.67x = 11,841.99 × 2,348.00
  4. Step 4: Simplify right side
    7,894.67x = 27,804,942.21
  5. Step 5: Solve for x
    x = 27,804,942.21/7,894.67
  6. Step 6: Final answer
    x = 3,521.99

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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.