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Finding the Fourth Proportional to 8,271.85, 11,403.97 and 5,614.64

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Solution

The fourth proportional to 8,271.85, 11,403.97 and 5,614.64 is: 7,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.85 : 11,403.97 = 5,614.64 : x
  2. Step 2: Convert to fraction form
    8,271.85/11,403.97 = 5,614.64/x
  3. Step 3: Cross multiply
    8,271.85x = 11,403.97 × 5,614.64
  4. Step 4: Simplify right side
    8,271.85x = 64,029,253.56
  5. Step 5: Solve for x
    x = 64,029,253.56/8,271.85
  6. Step 6: Final answer
    x = 7,740.62

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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.