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Finding the Fourth Proportional to 9,560.72, 13,157.84 and 8,088

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Solution

The fourth proportional to 9,560.72, 13,157.84 and 8,088 is: 11,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.72 : 13,157.84 = 8,088 : x
  2. Step 2: Convert to fraction form
    9,560.72/13,157.84 = 8,088/x
  3. Step 3: Cross multiply
    9,560.72x = 13,157.84 × 8,088
  4. Step 4: Simplify right side
    9,560.72x = 106,420,609.92
  5. Step 5: Solve for x
    x = 106,420,609.92/9,560.72
  6. Step 6: Final answer
    x = 11,131.02

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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.