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Finding the Fourth Proportional to 11,952.58, 17,916.63 and 4,157.14

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Solution

The fourth proportional to 11,952.58, 17,916.63 and 4,157.14 is: 6,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.58 : 17,916.63 = 4,157.14 : x
  2. Step 2: Convert to fraction form
    11,952.58/17,916.63 = 4,157.14/x
  3. Step 3: Cross multiply
    11,952.58x = 17,916.63 × 4,157.14
  4. Step 4: Simplify right side
    11,952.58x = 74,481,939.24
  5. Step 5: Solve for x
    x = 74,481,939.24/11,952.58
  6. Step 6: Final answer
    x = 6,231.45

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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.