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Finding the Fourth Proportional to 8,296.48, 11,441.01 and 5,465.53

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Solution

The fourth proportional to 8,296.48, 11,441.01 and 5,465.53 is: 7,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.48 : 11,441.01 = 5,465.53 : x
  2. Step 2: Convert to fraction form
    8,296.48/11,441.01 = 5,465.53/x
  3. Step 3: Cross multiply
    8,296.48x = 11,441.01 × 5,465.53
  4. Step 4: Simplify right side
    8,296.48x = 62,531,183.39
  5. Step 5: Solve for x
    x = 62,531,183.39/8,296.48
  6. Step 6: Final answer
    x = 7,537.07

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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.