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Finding the Fourth Proportional to 6,012.29, 8,297.35 and 3,992.54

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Solution

The fourth proportional to 6,012.29, 8,297.35 and 3,992.54 is: 5,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.29 : 8,297.35 = 3,992.54 : x
  2. Step 2: Convert to fraction form
    6,012.29/8,297.35 = 3,992.54/x
  3. Step 3: Cross multiply
    6,012.29x = 8,297.35 × 3,992.54
  4. Step 4: Simplify right side
    6,012.29x = 33,127,501.77
  5. Step 5: Solve for x
    x = 33,127,501.77/6,012.29
  6. Step 6: Final answer
    x = 5,509.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.