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Finding the Fourth Proportional to 8,189.27, 11,301.50 and 4,653.08

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Solution

The fourth proportional to 8,189.27, 11,301.50 and 4,653.08 is: 6,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.27 : 11,301.50 = 4,653.08 : x
  2. Step 2: Convert to fraction form
    8,189.27/11,301.50 = 4,653.08/x
  3. Step 3: Cross multiply
    8,189.27x = 11,301.50 × 4,653.08
  4. Step 4: Simplify right side
    8,189.27x = 52,586,760.35
  5. Step 5: Solve for x
    x = 52,586,760.35/8,189.27
  6. Step 6: Final answer
    x = 6,421.42

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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.