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Finding the Fourth Proportional to 7,792.44, 10,751.80 and 4,648

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Solution

The fourth proportional to 7,792.44, 10,751.80 and 4,648 is: 6,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.44 : 10,751.80 = 4,648 : x
  2. Step 2: Convert to fraction form
    7,792.44/10,751.80 = 4,648/x
  3. Step 3: Cross multiply
    7,792.44x = 10,751.80 × 4,648
  4. Step 4: Simplify right side
    7,792.44x = 49,974,366.40
  5. Step 5: Solve for x
    x = 49,974,366.40/7,792.44
  6. Step 6: Final answer
    x = 6,413.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.