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Finding the Fourth Proportional to 7,755.21, 11,604.06 and 4,636.98

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Solution

The fourth proportional to 7,755.21, 11,604.06 and 4,636.98 is: 6,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.21 : 11,604.06 = 4,636.98 : x
  2. Step 2: Convert to fraction form
    7,755.21/11,604.06 = 4,636.98/x
  3. Step 3: Cross multiply
    7,755.21x = 11,604.06 × 4,636.98
  4. Step 4: Simplify right side
    7,755.21x = 53,807,794.14
  5. Step 5: Solve for x
    x = 53,807,794.14/7,755.21
  6. Step 6: Final answer
    x = 6,938.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.