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Finding the Fourth Proportional to 8,189.81, 11,299.29 and 4,833.74

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Solution

The fourth proportional to 8,189.81, 11,299.29 and 4,833.74 is: 6,669.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.81 : 11,299.29 = 4,833.74 : x
  2. Step 2: Convert to fraction form
    8,189.81/11,299.29 = 4,833.74/x
  3. Step 3: Cross multiply
    8,189.81x = 11,299.29 × 4,833.74
  4. Step 4: Simplify right side
    8,189.81x = 54,617,830.04
  5. Step 5: Solve for x
    x = 54,617,830.04/8,189.81
  6. Step 6: Final answer
    x = 6,669.00

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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.