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Finding the Fourth Proportional to 11,770.37, 16,255.85 and 7,304.77

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Solution

The fourth proportional to 11,770.37, 16,255.85 and 7,304.77 is: 10,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.37 : 16,255.85 = 7,304.77 : x
  2. Step 2: Convert to fraction form
    11,770.37/16,255.85 = 7,304.77/x
  3. Step 3: Cross multiply
    11,770.37x = 16,255.85 × 7,304.77
  4. Step 4: Simplify right side
    11,770.37x = 118,745,245.40
  5. Step 5: Solve for x
    x = 118,745,245.40/11,770.37
  6. Step 6: Final answer
    x = 10,088.49

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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.