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Finding the Fourth Proportional to 7,732.56, 11,590.64 and 3,350.36

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Solution

The fourth proportional to 7,732.56, 11,590.64 and 3,350.36 is: 5,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.56 : 11,590.64 = 3,350.36 : x
  2. Step 2: Convert to fraction form
    7,732.56/11,590.64 = 3,350.36/x
  3. Step 3: Cross multiply
    7,732.56x = 11,590.64 × 3,350.36
  4. Step 4: Simplify right side
    7,732.56x = 38,832,860.26
  5. Step 5: Solve for x
    x = 38,832,860.26/7,732.56
  6. Step 6: Final answer
    x = 5,021.99

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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.