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Finding the Fourth Proportional to 7,794.90, 11,689.98 and 4,095.09

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Solution

The fourth proportional to 7,794.90, 11,689.98 and 4,095.09 is: 6,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.90 : 11,689.98 = 4,095.09 : x
  2. Step 2: Convert to fraction form
    7,794.90/11,689.98 = 4,095.09/x
  3. Step 3: Cross multiply
    7,794.90x = 11,689.98 × 4,095.09
  4. Step 4: Simplify right side
    7,794.90x = 47,871,520.20
  5. Step 5: Solve for x
    x = 47,871,520.20/7,794.90
  6. Step 6: Final answer
    x = 6,141.39

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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.