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Finding the Fourth Proportional to 7,755.68, 11,631.44 and 5,290

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Solution

The fourth proportional to 7,755.68, 11,631.44 and 5,290 is: 7,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.68 : 11,631.44 = 5,290 : x
  2. Step 2: Convert to fraction form
    7,755.68/11,631.44 = 5,290/x
  3. Step 3: Cross multiply
    7,755.68x = 11,631.44 × 5,290
  4. Step 4: Simplify right side
    7,755.68x = 61,530,317.60
  5. Step 5: Solve for x
    x = 61,530,317.60/7,755.68
  6. Step 6: Final answer
    x = 7,933.58

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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.