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Finding the Fourth Proportional to 8,308.84, 11,465.46 and 4,771.72

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Solution

The fourth proportional to 8,308.84, 11,465.46 and 4,771.72 is: 6,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.84 : 11,465.46 = 4,771.72 : x
  2. Step 2: Convert to fraction form
    8,308.84/11,465.46 = 4,771.72/x
  3. Step 3: Cross multiply
    8,308.84x = 11,465.46 × 4,771.72
  4. Step 4: Simplify right side
    8,308.84x = 54,709,964.79
  5. Step 5: Solve for x
    x = 54,709,964.79/8,308.84
  6. Step 6: Final answer
    x = 6,584.55

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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.