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Finding the Fourth Proportional to 11,518.56, 17,271.69 and 4,119

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Solution

The fourth proportional to 11,518.56, 17,271.69 and 4,119 is: 6,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518.56 : 17,271.69 = 4,119 : x
  2. Step 2: Convert to fraction form
    11,518.56/17,271.69 = 4,119/x
  3. Step 3: Cross multiply
    11,518.56x = 17,271.69 × 4,119
  4. Step 4: Simplify right side
    11,518.56x = 71,142,091.11
  5. Step 5: Solve for x
    x = 71,142,091.11/11,518.56
  6. Step 6: Final answer
    x = 6,176.30

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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.