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Finding the Fourth Proportional to 7,794.63, 11,684.66 and 2,862.95

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Solution

The fourth proportional to 7,794.63, 11,684.66 and 2,862.95 is: 4,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.63 : 11,684.66 = 2,862.95 : x
  2. Step 2: Convert to fraction form
    7,794.63/11,684.66 = 2,862.95/x
  3. Step 3: Cross multiply
    7,794.63x = 11,684.66 × 2,862.95
  4. Step 4: Simplify right side
    7,794.63x = 33,452,524.61
  5. Step 5: Solve for x
    x = 33,452,524.61/7,794.63
  6. Step 6: Final answer
    x = 4,291.74

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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.