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Finding the Fourth Proportional to 11,790.24, 16,270.64 and 6,485.24

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Solution

The fourth proportional to 11,790.24, 16,270.64 and 6,485.24 is: 8,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790.24 : 16,270.64 = 6,485.24 : x
  2. Step 2: Convert to fraction form
    11,790.24/16,270.64 = 6,485.24/x
  3. Step 3: Cross multiply
    11,790.24x = 16,270.64 × 6,485.24
  4. Step 4: Simplify right side
    11,790.24x = 105,519,005.35
  5. Step 5: Solve for x
    x = 105,519,005.35/11,790.24
  6. Step 6: Final answer
    x = 8,949.69

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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.