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Finding the Fourth Proportional to 8,306.80, 11,463.64 and 4,770.72

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Solution

The fourth proportional to 8,306.80, 11,463.64 and 4,770.72 is: 6,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.80 : 11,463.64 = 4,770.72 : x
  2. Step 2: Convert to fraction form
    8,306.80/11,463.64 = 4,770.72/x
  3. Step 3: Cross multiply
    8,306.80x = 11,463.64 × 4,770.72
  4. Step 4: Simplify right side
    8,306.80x = 54,689,816.62
  5. Step 5: Solve for x
    x = 54,689,816.62/8,306.80
  6. Step 6: Final answer
    x = 6,583.74

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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.