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Finding the Fourth Proportional to 11,226, 16,844.28 and 4,298.64

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Solution

The fourth proportional to 11,226, 16,844.28 and 4,298.64 is: 6,449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226 : 16,844.28 = 4,298.64 : x
  2. Step 2: Convert to fraction form
    11,226/16,844.28 = 4,298.64/x
  3. Step 3: Cross multiply
    11,226x = 16,844.28 × 4,298.64
  4. Step 4: Simplify right side
    11,226x = 72,407,495.78
  5. Step 5: Solve for x
    x = 72,407,495.78/11,226
  6. Step 6: Final answer
    x = 6,449.98

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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.