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Finding the Fourth Proportional to 7,804.66, 11,706.63 and 2,873.95

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Solution

The fourth proportional to 7,804.66, 11,706.63 and 2,873.95 is: 4,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.66 : 11,706.63 = 2,873.95 : x
  2. Step 2: Convert to fraction form
    7,804.66/11,706.63 = 2,873.95/x
  3. Step 3: Cross multiply
    7,804.66x = 11,706.63 × 2,873.95
  4. Step 4: Simplify right side
    7,804.66x = 33,644,269.29
  5. Step 5: Solve for x
    x = 33,644,269.29/7,804.66
  6. Step 6: Final answer
    x = 4,310.79

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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.