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Finding the Fourth Proportional to 8,353.66, 11,527.54 and 4,769.03

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Solution

The fourth proportional to 8,353.66, 11,527.54 and 4,769.03 is: 6,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.66 : 11,527.54 = 4,769.03 : x
  2. Step 2: Convert to fraction form
    8,353.66/11,527.54 = 4,769.03/x
  3. Step 3: Cross multiply
    8,353.66x = 11,527.54 × 4,769.03
  4. Step 4: Simplify right side
    8,353.66x = 54,975,149.55
  5. Step 5: Solve for x
    x = 54,975,149.55/8,353.66
  6. Step 6: Final answer
    x = 6,580.97

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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.