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Finding the Fourth Proportional to 8,353.74, 11,527.70 and 4,576.19

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Solution

The fourth proportional to 8,353.74, 11,527.70 and 4,576.19 is: 6,314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.74 : 11,527.70 = 4,576.19 : x
  2. Step 2: Convert to fraction form
    8,353.74/11,527.70 = 4,576.19/x
  3. Step 3: Cross multiply
    8,353.74x = 11,527.70 × 4,576.19
  4. Step 4: Simplify right side
    8,353.74x = 52,752,945.46
  5. Step 5: Solve for x
    x = 52,752,945.46/8,353.74
  6. Step 6: Final answer
    x = 6,314.89

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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.