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Finding the Fourth Proportional to 15,058.56, 22,568.84 and 7,664.88

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Solution

The fourth proportional to 15,058.56, 22,568.84 and 7,664.88 is: 11,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,058.56 : 22,568.84 = 7,664.88 : x
  2. Step 2: Convert to fraction form
    15,058.56/22,568.84 = 7,664.88/x
  3. Step 3: Cross multiply
    15,058.56x = 22,568.84 × 7,664.88
  4. Step 4: Simplify right side
    15,058.56x = 172,987,450.34
  5. Step 5: Solve for x
    x = 172,987,450.34/15,058.56
  6. Step 6: Final answer
    x = 11,487.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.