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Finding the Fourth Proportional to 7,797.47, 10,767.33 and 5,684.99

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Solution

The fourth proportional to 7,797.47, 10,767.33 and 5,684.99 is: 7,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.47 : 10,767.33 = 5,684.99 : x
  2. Step 2: Convert to fraction form
    7,797.47/10,767.33 = 5,684.99/x
  3. Step 3: Cross multiply
    7,797.47x = 10,767.33 × 5,684.99
  4. Step 4: Simplify right side
    7,797.47x = 61,212,109.54
  5. Step 5: Solve for x
    x = 61,212,109.54/7,797.47
  6. Step 6: Final answer
    x = 7,850.26

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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.