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Finding the Fourth Proportional to 7,784.25, 10,738.78 and 4,798.99

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Solution

The fourth proportional to 7,784.25, 10,738.78 and 4,798.99 is: 6,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.25 : 10,738.78 = 4,798.99 : x
  2. Step 2: Convert to fraction form
    7,784.25/10,738.78 = 4,798.99/x
  3. Step 3: Cross multiply
    7,784.25x = 10,738.78 × 4,798.99
  4. Step 4: Simplify right side
    7,784.25x = 51,535,297.83
  5. Step 5: Solve for x
    x = 51,535,297.83/7,784.25
  6. Step 6: Final answer
    x = 6,620.46

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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.