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Finding the Fourth Proportional to 7,647.32, 11,443.64 and 5,992.49

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Solution

The fourth proportional to 7,647.32, 11,443.64 and 5,992.49 is: 8,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.32 : 11,443.64 = 5,992.49 : x
  2. Step 2: Convert to fraction form
    7,647.32/11,443.64 = 5,992.49/x
  3. Step 3: Cross multiply
    7,647.32x = 11,443.64 × 5,992.49
  4. Step 4: Simplify right side
    7,647.32x = 68,575,811.08
  5. Step 5: Solve for x
    x = 68,575,811.08/7,647.32
  6. Step 6: Final answer
    x = 8,967.31

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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.