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Finding the Fourth Proportional to 8,260.72, 11,409.96 and 6,174.16

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Solution

The fourth proportional to 8,260.72, 11,409.96 and 6,174.16 is: 8,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.72 : 11,409.96 = 6,174.16 : x
  2. Step 2: Convert to fraction form
    8,260.72/11,409.96 = 6,174.16/x
  3. Step 3: Cross multiply
    8,260.72x = 11,409.96 × 6,174.16
  4. Step 4: Simplify right side
    8,260.72x = 70,446,918.63
  5. Step 5: Solve for x
    x = 70,446,918.63/8,260.72
  6. Step 6: Final answer
    x = 8,527.94

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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.