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Finding the Fourth Proportional to 11,630.31, 16,052.37 and 7,651.80

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Solution

The fourth proportional to 11,630.31, 16,052.37 and 7,651.80 is: 10,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.31 : 16,052.37 = 7,651.80 : x
  2. Step 2: Convert to fraction form
    11,630.31/16,052.37 = 7,651.80/x
  3. Step 3: Cross multiply
    11,630.31x = 16,052.37 × 7,651.80
  4. Step 4: Simplify right side
    11,630.31x = 122,829,524.77
  5. Step 5: Solve for x
    x = 122,829,524.77/11,630.31
  6. Step 6: Final answer
    x = 10,561.16

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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.