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Finding the Fourth Proportional to 8,308.63, 11,465.61 and 4,771.56

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Solution

The fourth proportional to 8,308.63, 11,465.61 and 4,771.56 is: 6,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.63 : 11,465.61 = 4,771.56 : x
  2. Step 2: Convert to fraction form
    8,308.63/11,465.61 = 4,771.56/x
  3. Step 3: Cross multiply
    8,308.63x = 11,465.61 × 4,771.56
  4. Step 4: Simplify right side
    8,308.63x = 54,708,846.05
  5. Step 5: Solve for x
    x = 54,708,846.05/8,308.63
  6. Step 6: Final answer
    x = 6,584.58

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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.