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Finding the Fourth Proportional to 11,157.12, 16,741.92 and 9,706.56

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Solution

The fourth proportional to 11,157.12, 16,741.92 and 9,706.56 is: 14,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.12 : 16,741.92 = 9,706.56 : x
  2. Step 2: Convert to fraction form
    11,157.12/16,741.92 = 9,706.56/x
  3. Step 3: Cross multiply
    11,157.12x = 16,741.92 × 9,706.56
  4. Step 4: Simplify right side
    11,157.12x = 162,506,451.00
  5. Step 5: Solve for x
    x = 162,506,451.00/11,157.12
  6. Step 6: Final answer
    x = 14,565.27

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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.