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Finding the Fourth Proportional to 7,763.75, 11,648.46 and 4,844.51

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Solution

The fourth proportional to 7,763.75, 11,648.46 and 4,844.51 is: 7,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.75 : 11,648.46 = 4,844.51 : x
  2. Step 2: Convert to fraction form
    7,763.75/11,648.46 = 4,844.51/x
  3. Step 3: Cross multiply
    7,763.75x = 11,648.46 × 4,844.51
  4. Step 4: Simplify right side
    7,763.75x = 56,431,022.71
  5. Step 5: Solve for x
    x = 56,431,022.71/7,763.75
  6. Step 6: Final answer
    x = 7,268.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.