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Finding the Fourth Proportional to 11,644.32, 17,475.12 and 5,492.64

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Solution

The fourth proportional to 11,644.32, 17,475.12 and 5,492.64 is: 8,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.32 : 17,475.12 = 5,492.64 : x
  2. Step 2: Convert to fraction form
    11,644.32/17,475.12 = 5,492.64/x
  3. Step 3: Cross multiply
    11,644.32x = 17,475.12 × 5,492.64
  4. Step 4: Simplify right side
    11,644.32x = 95,984,543.12
  5. Step 5: Solve for x
    x = 95,984,543.12/11,644.32
  6. Step 6: Final answer
    x = 8,243.04

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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.