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Finding the Fourth Proportional to 11,884.16, 17,826.44 and 4,492.10

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Solution

The fourth proportional to 11,884.16, 17,826.44 and 4,492.10 is: 6,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.16 : 17,826.44 = 4,492.10 : x
  2. Step 2: Convert to fraction form
    11,884.16/17,826.44 = 4,492.10/x
  3. Step 3: Cross multiply
    11,884.16x = 17,826.44 × 4,492.10
  4. Step 4: Simplify right side
    11,884.16x = 80,078,151.12
  5. Step 5: Solve for x
    x = 80,078,151.12/11,884.16
  6. Step 6: Final answer
    x = 6,738.23

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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.