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Finding the Fourth Proportional to 11,246.88, 16,847.64 and 9,416.28

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Solution

The fourth proportional to 11,246.88, 16,847.64 and 9,416.28 is: 14,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.88 : 16,847.64 = 9,416.28 : x
  2. Step 2: Convert to fraction form
    11,246.88/16,847.64 = 9,416.28/x
  3. Step 3: Cross multiply
    11,246.88x = 16,847.64 × 9,416.28
  4. Step 4: Simplify right side
    11,246.88x = 158,642,095.58
  5. Step 5: Solve for x
    x = 158,642,095.58/11,246.88
  6. Step 6: Final answer
    x = 14,105.43

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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.