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Finding the Fourth Proportional to 11,023.04, 16,519 and 8,546.28

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Solution

The fourth proportional to 11,023.04, 16,519 and 8,546.28 is: 12,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.04 : 16,519 = 8,546.28 : x
  2. Step 2: Convert to fraction form
    11,023.04/16,519 = 8,546.28/x
  3. Step 3: Cross multiply
    11,023.04x = 16,519 × 8,546.28
  4. Step 4: Simplify right side
    11,023.04x = 141,175,999.32
  5. Step 5: Solve for x
    x = 141,175,999.32/11,023.04
  6. Step 6: Final answer
    x = 12,807.36

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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.