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Finding the Fourth Proportional to 8,380.68, 11,573.06 and 5,401.64

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Solution

The fourth proportional to 8,380.68, 11,573.06 and 5,401.64 is: 7,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.68 : 11,573.06 = 5,401.64 : x
  2. Step 2: Convert to fraction form
    8,380.68/11,573.06 = 5,401.64/x
  3. Step 3: Cross multiply
    8,380.68x = 11,573.06 × 5,401.64
  4. Step 4: Simplify right side
    8,380.68x = 62,513,418.94
  5. Step 5: Solve for x
    x = 62,513,418.94/8,380.68
  6. Step 6: Final answer
    x = 7,459.23

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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.