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Finding the Fourth Proportional to 7,794.34, 11,689.08 and 2,599

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Solution

The fourth proportional to 7,794.34, 11,689.08 and 2,599 is: 3,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.34 : 11,689.08 = 2,599 : x
  2. Step 2: Convert to fraction form
    7,794.34/11,689.08 = 2,599/x
  3. Step 3: Cross multiply
    7,794.34x = 11,689.08 × 2,599
  4. Step 4: Simplify right side
    7,794.34x = 30,379,918.92
  5. Step 5: Solve for x
    x = 30,379,918.92/7,794.34
  6. Step 6: Final answer
    x = 3,897.69

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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.