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Finding the Fourth Proportional to 11,071.76, 16,633.56 and 9,516.56

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Solution

The fourth proportional to 11,071.76, 16,633.56 and 9,516.56 is: 14,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.76 : 16,633.56 = 9,516.56 : x
  2. Step 2: Convert to fraction form
    11,071.76/16,633.56 = 9,516.56/x
  3. Step 3: Cross multiply
    11,071.76x = 16,633.56 × 9,516.56
  4. Step 4: Simplify right side
    11,071.76x = 158,294,271.75
  5. Step 5: Solve for x
    x = 158,294,271.75/11,071.76
  6. Step 6: Final answer
    x = 14,297.12

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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.