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Finding the Fourth Proportional to 11,606.24, 17,403.60 and 6,674.60

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Solution

The fourth proportional to 11,606.24, 17,403.60 and 6,674.60 is: 10,008.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.24 : 17,403.60 = 6,674.60 : x
  2. Step 2: Convert to fraction form
    11,606.24/17,403.60 = 6,674.60/x
  3. Step 3: Cross multiply
    11,606.24x = 17,403.60 × 6,674.60
  4. Step 4: Simplify right side
    11,606.24x = 116,162,068.56
  5. Step 5: Solve for x
    x = 116,162,068.56/11,606.24
  6. Step 6: Final answer
    x = 10,008.59

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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.