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Finding the Fourth Proportional to 8,164.42, 11,265.01 and 4,976.80

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Solution

The fourth proportional to 8,164.42, 11,265.01 and 4,976.80 is: 6,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.42 : 11,265.01 = 4,976.80 : x
  2. Step 2: Convert to fraction form
    8,164.42/11,265.01 = 4,976.80/x
  3. Step 3: Cross multiply
    8,164.42x = 11,265.01 × 4,976.80
  4. Step 4: Simplify right side
    8,164.42x = 56,063,701.77
  5. Step 5: Solve for x
    x = 56,063,701.77/8,164.42
  6. Step 6: Final answer
    x = 6,866.83

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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.