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Finding the Fourth Proportional to 7,804.89, 11,759.99 and 6,448.55

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Solution

The fourth proportional to 7,804.89, 11,759.99 and 6,448.55 is: 9,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.89 : 11,759.99 = 6,448.55 : x
  2. Step 2: Convert to fraction form
    7,804.89/11,759.99 = 6,448.55/x
  3. Step 3: Cross multiply
    7,804.89x = 11,759.99 × 6,448.55
  4. Step 4: Simplify right side
    7,804.89x = 75,834,792.47
  5. Step 5: Solve for x
    x = 75,834,792.47/7,804.89
  6. Step 6: Final answer
    x = 9,716.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.