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Finding the Fourth Proportional to 6,953.74, 10,431.29 and 2,023.43

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Solution

The fourth proportional to 6,953.74, 10,431.29 and 2,023.43 is: 3,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.74 : 10,431.29 = 2,023.43 : x
  2. Step 2: Convert to fraction form
    6,953.74/10,431.29 = 2,023.43/x
  3. Step 3: Cross multiply
    6,953.74x = 10,431.29 × 2,023.43
  4. Step 4: Simplify right side
    6,953.74x = 21,106,938.03
  5. Step 5: Solve for x
    x = 21,106,938.03/6,953.74
  6. Step 6: Final answer
    x = 3,035.34

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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.