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Finding the Fourth Proportional to 7,442.91, 11,154 and 4,947.03

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Solution

The fourth proportional to 7,442.91, 11,154 and 4,947.03 is: 7,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.91 : 11,154 = 4,947.03 : x
  2. Step 2: Convert to fraction form
    7,442.91/11,154 = 4,947.03/x
  3. Step 3: Cross multiply
    7,442.91x = 11,154 × 4,947.03
  4. Step 4: Simplify right side
    7,442.91x = 55,179,172.62
  5. Step 5: Solve for x
    x = 55,179,172.62/7,442.91
  6. Step 6: Final answer
    x = 7,413.66

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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.