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Finding the Fourth Proportional to 6,852.51, 10,278.77 and 3,924.56

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Solution

The fourth proportional to 6,852.51, 10,278.77 and 3,924.56 is: 5,886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.51 : 10,278.77 = 3,924.56 : x
  2. Step 2: Convert to fraction form
    6,852.51/10,278.77 = 3,924.56/x
  3. Step 3: Cross multiply
    6,852.51x = 10,278.77 × 3,924.56
  4. Step 4: Simplify right side
    6,852.51x = 40,339,655.67
  5. Step 5: Solve for x
    x = 40,339,655.67/6,852.51
  6. Step 6: Final answer
    x = 5,886.84

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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.