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Finding the Fourth Proportional to 6,957.45, 10,431 and 2,574.09

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Solution

The fourth proportional to 6,957.45, 10,431 and 2,574.09 is: 3,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.45 : 10,431 = 2,574.09 : x
  2. Step 2: Convert to fraction form
    6,957.45/10,431 = 2,574.09/x
  3. Step 3: Cross multiply
    6,957.45x = 10,431 × 2,574.09
  4. Step 4: Simplify right side
    6,957.45x = 26,850,332.79
  5. Step 5: Solve for x
    x = 26,850,332.79/6,957.45
  6. Step 6: Final answer
    x = 3,859.22

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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.