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Finding the Fourth Proportional to 8,274.24, 11,409.12 and 6,032.16

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Solution

The fourth proportional to 8,274.24, 11,409.12 and 6,032.16 is: 8,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.24 : 11,409.12 = 6,032.16 : x
  2. Step 2: Convert to fraction form
    8,274.24/11,409.12 = 6,032.16/x
  3. Step 3: Cross multiply
    8,274.24x = 11,409.12 × 6,032.16
  4. Step 4: Simplify right side
    8,274.24x = 68,821,637.30
  5. Step 5: Solve for x
    x = 68,821,637.30/8,274.24
  6. Step 6: Final answer
    x = 8,317.58

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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.