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Finding the Fourth Proportional to 7,644.12, 11,464.62 and 3,482.94

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Solution

The fourth proportional to 7,644.12, 11,464.62 and 3,482.94 is: 5,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.12 : 11,464.62 = 3,482.94 : x
  2. Step 2: Convert to fraction form
    7,644.12/11,464.62 = 3,482.94/x
  3. Step 3: Cross multiply
    7,644.12x = 11,464.62 × 3,482.94
  4. Step 4: Simplify right side
    7,644.12x = 39,930,583.58
  5. Step 5: Solve for x
    x = 39,930,583.58/7,644.12
  6. Step 6: Final answer
    x = 5,223.70

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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.