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Finding the Fourth Proportional to 7,647.72, 11,458.62 and 6,092.52

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Solution

The fourth proportional to 7,647.72, 11,458.62 and 6,092.52 is: 9,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.72 : 11,458.62 = 6,092.52 : x
  2. Step 2: Convert to fraction form
    7,647.72/11,458.62 = 6,092.52/x
  3. Step 3: Cross multiply
    7,647.72x = 11,458.62 × 6,092.52
  4. Step 4: Simplify right side
    7,647.72x = 69,811,871.52
  5. Step 5: Solve for x
    x = 69,811,871.52/7,647.72
  6. Step 6: Final answer
    x = 9,128.46

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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.