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Finding the Fourth Proportional to 8,169.96, 11,276.85 and 4,814.71

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Solution

The fourth proportional to 8,169.96, 11,276.85 and 4,814.71 is: 6,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.96 : 11,276.85 = 4,814.71 : x
  2. Step 2: Convert to fraction form
    8,169.96/11,276.85 = 4,814.71/x
  3. Step 3: Cross multiply
    8,169.96x = 11,276.85 × 4,814.71
  4. Step 4: Simplify right side
    8,169.96x = 54,294,762.46
  5. Step 5: Solve for x
    x = 54,294,762.46/8,169.96
  6. Step 6: Final answer
    x = 6,645.66

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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.