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Finding the Fourth Proportional to 11,762, 16,234.67 and 7,283.21

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Solution

The fourth proportional to 11,762, 16,234.67 and 7,283.21 is: 10,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762 : 16,234.67 = 7,283.21 : x
  2. Step 2: Convert to fraction form
    11,762/16,234.67 = 7,283.21/x
  3. Step 3: Cross multiply
    11,762x = 16,234.67 × 7,283.21
  4. Step 4: Simplify right side
    11,762x = 118,240,429.72
  5. Step 5: Solve for x
    x = 118,240,429.72/11,762
  6. Step 6: Final answer
    x = 10,052.75

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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.