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Finding the Fourth Proportional to 7,804.28, 11,705.16 and 2,872.70

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Solution

The fourth proportional to 7,804.28, 11,705.16 and 2,872.70 is: 4,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.28 : 11,705.16 = 2,872.70 : x
  2. Step 2: Convert to fraction form
    7,804.28/11,705.16 = 2,872.70/x
  3. Step 3: Cross multiply
    7,804.28x = 11,705.16 × 2,872.70
  4. Step 4: Simplify right side
    7,804.28x = 33,625,413.13
  5. Step 5: Solve for x
    x = 33,625,413.13/7,804.28
  6. Step 6: Final answer
    x = 4,308.59

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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.