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Finding the Fourth Proportional to 11,814.37, 17,732.52 and 5,975.08

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Solution

The fourth proportional to 11,814.37, 17,732.52 and 5,975.08 is: 8,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.37 : 17,732.52 = 5,975.08 : x
  2. Step 2: Convert to fraction form
    11,814.37/17,732.52 = 5,975.08/x
  3. Step 3: Cross multiply
    11,814.37x = 17,732.52 × 5,975.08
  4. Step 4: Simplify right side
    11,814.37x = 105,953,181.27
  5. Step 5: Solve for x
    x = 105,953,181.27/11,814.37
  6. Step 6: Final answer
    x = 8,968.16

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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.