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Finding the Fourth Proportional to 7,838.93, 11,758.32 and 1,995.53

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Solution

The fourth proportional to 7,838.93, 11,758.32 and 1,995.53 is: 2,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.93 : 11,758.32 = 1,995.53 : x
  2. Step 2: Convert to fraction form
    7,838.93/11,758.32 = 1,995.53/x
  3. Step 3: Cross multiply
    7,838.93x = 11,758.32 × 1,995.53
  4. Step 4: Simplify right side
    7,838.93x = 23,464,021.52
  5. Step 5: Solve for x
    x = 23,464,021.52/7,838.93
  6. Step 6: Final answer
    x = 2,993.27

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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.