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Finding the Fourth Proportional to 7,755.58, 11,631.21 and 3,137.50

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Solution

The fourth proportional to 7,755.58, 11,631.21 and 3,137.50 is: 4,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.58 : 11,631.21 = 3,137.50 : x
  2. Step 2: Convert to fraction form
    7,755.58/11,631.21 = 3,137.50/x
  3. Step 3: Cross multiply
    7,755.58x = 11,631.21 × 3,137.50
  4. Step 4: Simplify right side
    7,755.58x = 36,492,921.38
  5. Step 5: Solve for x
    x = 36,492,921.38/7,755.58
  6. Step 6: Final answer
    x = 4,705.38

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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.