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Finding the Fourth Proportional to 11,751.28, 16,216.67 and 6,446.06

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Solution

The fourth proportional to 11,751.28, 16,216.67 and 6,446.06 is: 8,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.28 : 16,216.67 = 6,446.06 : x
  2. Step 2: Convert to fraction form
    11,751.28/16,216.67 = 6,446.06/x
  3. Step 3: Cross multiply
    11,751.28x = 16,216.67 × 6,446.06
  4. Step 4: Simplify right side
    11,751.28x = 104,533,514.51
  5. Step 5: Solve for x
    x = 104,533,514.51/11,751.28
  6. Step 6: Final answer
    x = 8,895.50

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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.