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Finding the Fourth Proportional to 8,384.56, 11,568.32 and 5,401.43

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Solution

The fourth proportional to 8,384.56, 11,568.32 and 5,401.43 is: 7,452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.56 : 11,568.32 = 5,401.43 : x
  2. Step 2: Convert to fraction form
    8,384.56/11,568.32 = 5,401.43/x
  3. Step 3: Cross multiply
    8,384.56x = 11,568.32 × 5,401.43
  4. Step 4: Simplify right side
    8,384.56x = 62,485,514.56
  5. Step 5: Solve for x
    x = 62,485,514.56/8,384.56
  6. Step 6: Final answer
    x = 7,452.45

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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.