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Finding the Fourth Proportional to 8,424, 11,629.92 and 5,444.16

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Solution

The fourth proportional to 8,424, 11,629.92 and 5,444.16 is: 7,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424 : 11,629.92 = 5,444.16 : x
  2. Step 2: Convert to fraction form
    8,424/11,629.92 = 5,444.16/x
  3. Step 3: Cross multiply
    8,424x = 11,629.92 × 5,444.16
  4. Step 4: Simplify right side
    8,424x = 63,315,145.27
  5. Step 5: Solve for x
    x = 63,315,145.27/8,424
  6. Step 6: Final answer
    x = 7,516.04

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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.