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Finding the Fourth Proportional to 7,464.56, 11,193.42 and 3,564.68

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Solution

The fourth proportional to 7,464.56, 11,193.42 and 3,564.68 is: 5,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.56 : 11,193.42 = 3,564.68 : x
  2. Step 2: Convert to fraction form
    7,464.56/11,193.42 = 3,564.68/x
  3. Step 3: Cross multiply
    7,464.56x = 11,193.42 × 3,564.68
  4. Step 4: Simplify right side
    7,464.56x = 39,900,960.41
  5. Step 5: Solve for x
    x = 39,900,960.41/7,464.56
  6. Step 6: Final answer
    x = 5,345.39

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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.