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Finding the Fourth Proportional to 7,538.54, 11,307.62 and 1,992.27

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Solution

The fourth proportional to 7,538.54, 11,307.62 and 1,992.27 is: 2,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.54 : 11,307.62 = 1,992.27 : x
  2. Step 2: Convert to fraction form
    7,538.54/11,307.62 = 1,992.27/x
  3. Step 3: Cross multiply
    7,538.54x = 11,307.62 × 1,992.27
  4. Step 4: Simplify right side
    7,538.54x = 22,527,832.10
  5. Step 5: Solve for x
    x = 22,527,832.10/7,538.54
  6. Step 6: Final answer
    x = 2,988.36

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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.