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Finding the Fourth Proportional to 7,924.36, 10,933.77 and 4,738.69

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Solution

The fourth proportional to 7,924.36, 10,933.77 and 4,738.69 is: 6,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.36 : 10,933.77 = 4,738.69 : x
  2. Step 2: Convert to fraction form
    7,924.36/10,933.77 = 4,738.69/x
  3. Step 3: Cross multiply
    7,924.36x = 10,933.77 × 4,738.69
  4. Step 4: Simplify right side
    7,924.36x = 51,811,746.56
  5. Step 5: Solve for x
    x = 51,811,746.56/7,924.36
  6. Step 6: Final answer
    x = 6,538.29

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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.