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Finding the Fourth Proportional to 11,883.80, 16,384.73 and 7,627.34

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Solution

The fourth proportional to 11,883.80, 16,384.73 and 7,627.34 is: 10,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.80 : 16,384.73 = 7,627.34 : x
  2. Step 2: Convert to fraction form
    11,883.80/16,384.73 = 7,627.34/x
  3. Step 3: Cross multiply
    11,883.80x = 16,384.73 × 7,627.34
  4. Step 4: Simplify right side
    11,883.80x = 124,971,909.34
  5. Step 5: Solve for x
    x = 124,971,909.34/11,883.80
  6. Step 6: Final answer
    x = 10,516.16

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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.