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Finding the Fourth Proportional to 6,957.36, 10,437.40 and 2,574.85

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Solution

The fourth proportional to 6,957.36, 10,437.40 and 2,574.85 is: 3,862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.36 : 10,437.40 = 2,574.85 : x
  2. Step 2: Convert to fraction form
    6,957.36/10,437.40 = 2,574.85/x
  3. Step 3: Cross multiply
    6,957.36x = 10,437.40 × 2,574.85
  4. Step 4: Simplify right side
    6,957.36x = 26,874,739.39
  5. Step 5: Solve for x
    x = 26,874,739.39/6,957.36
  6. Step 6: Final answer
    x = 3,862.78

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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.