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Finding the Fourth Proportional to 8,306.78, 11,464.04 and 4,771.13

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Solution

The fourth proportional to 8,306.78, 11,464.04 and 4,771.13 is: 6,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.78 : 11,464.04 = 4,771.13 : x
  2. Step 2: Convert to fraction form
    8,306.78/11,464.04 = 4,771.13/x
  3. Step 3: Cross multiply
    8,306.78x = 11,464.04 × 4,771.13
  4. Step 4: Simplify right side
    8,306.78x = 54,696,401.31
  5. Step 5: Solve for x
    x = 54,696,401.31/8,306.78
  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.