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Finding the Fourth Proportional to 11,646.32, 17,463.72 and 6,099.44

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Solution

The fourth proportional to 11,646.32, 17,463.72 and 6,099.44 is: 9,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.32 : 17,463.72 = 6,099.44 : x
  2. Step 2: Convert to fraction form
    11,646.32/17,463.72 = 6,099.44/x
  3. Step 3: Cross multiply
    11,646.32x = 17,463.72 × 6,099.44
  4. Step 4: Simplify right side
    11,646.32x = 106,518,912.32
  5. Step 5: Solve for x
    x = 106,518,912.32/11,646.32
  6. Step 6: Final answer
    x = 9,146.14

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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.