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Finding the Fourth Proportional to 11,772.56, 16,252.68 and 7,058

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Solution

The fourth proportional to 11,772.56, 16,252.68 and 7,058 is: 9,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.56 : 16,252.68 = 7,058 : x
  2. Step 2: Convert to fraction form
    11,772.56/16,252.68 = 7,058/x
  3. Step 3: Cross multiply
    11,772.56x = 16,252.68 × 7,058
  4. Step 4: Simplify right side
    11,772.56x = 114,711,415.44
  5. Step 5: Solve for x
    x = 114,711,415.44/11,772.56
  6. Step 6: Final answer
    x = 9,743.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.