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Finding the Fourth Proportional to 11,226.17, 16,851 and 4,656.26

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Solution

The fourth proportional to 11,226.17, 16,851 and 4,656.26 is: 6,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226.17 : 16,851 = 4,656.26 : x
  2. Step 2: Convert to fraction form
    11,226.17/16,851 = 4,656.26/x
  3. Step 3: Cross multiply
    11,226.17x = 16,851 × 4,656.26
  4. Step 4: Simplify right side
    11,226.17x = 78,462,637.26
  5. Step 5: Solve for x
    x = 78,462,637.26/11,226.17
  6. Step 6: Final answer
    x = 6,989.26

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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.