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Finding the Fourth Proportional to 11,957.04, 17,941 and 4,563.16

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Solution

The fourth proportional to 11,957.04, 17,941 and 4,563.16 is: 6,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.04 : 17,941 = 4,563.16 : x
  2. Step 2: Convert to fraction form
    11,957.04/17,941 = 4,563.16/x
  3. Step 3: Cross multiply
    11,957.04x = 17,941 × 4,563.16
  4. Step 4: Simplify right side
    11,957.04x = 81,867,653.56
  5. Step 5: Solve for x
    x = 81,867,653.56/11,957.04
  6. Step 6: Final answer
    x = 6,846.82

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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.