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Finding the Fourth Proportional to 11,450, 17,172.56 and 9,271.10

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Solution

The fourth proportional to 11,450, 17,172.56 and 9,271.10 is: 13,904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450 : 17,172.56 = 9,271.10 : x
  2. Step 2: Convert to fraction form
    11,450/17,172.56 = 9,271.10/x
  3. Step 3: Cross multiply
    11,450x = 17,172.56 × 9,271.10
  4. Step 4: Simplify right side
    11,450x = 159,208,521.02
  5. Step 5: Solve for x
    x = 159,208,521.02/11,450
  6. Step 6: Final answer
    x = 13,904.67

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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.