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Finding the Fourth Proportional to 6,924.64, 10,383.72 and 3,026.92

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Solution

The fourth proportional to 6,924.64, 10,383.72 and 3,026.92 is: 4,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.64 : 10,383.72 = 3,026.92 : x
  2. Step 2: Convert to fraction form
    6,924.64/10,383.72 = 3,026.92/x
  3. Step 3: Cross multiply
    6,924.64x = 10,383.72 × 3,026.92
  4. Step 4: Simplify right side
    6,924.64x = 31,430,689.74
  5. Step 5: Solve for x
    x = 31,430,689.74/6,924.64
  6. Step 6: Final answer
    x = 4,538.96

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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.