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Finding the Fourth Proportional to 11,471.99, 17,200.80 and 4,806.68

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Solution

The fourth proportional to 11,471.99, 17,200.80 and 4,806.68 is: 7,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.99 : 17,200.80 = 4,806.68 : x
  2. Step 2: Convert to fraction form
    11,471.99/17,200.80 = 4,806.68/x
  3. Step 3: Cross multiply
    11,471.99x = 17,200.80 × 4,806.68
  4. Step 4: Simplify right side
    11,471.99x = 82,678,741.34
  5. Step 5: Solve for x
    x = 82,678,741.34/11,471.99
  6. Step 6: Final answer
    x = 7,207.01

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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.