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Finding the Fourth Proportional to 11,257.64, 16,886.06 and 3,466.25

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Solution

The fourth proportional to 11,257.64, 16,886.06 and 3,466.25 is: 5,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.64 : 16,886.06 = 3,466.25 : x
  2. Step 2: Convert to fraction form
    11,257.64/16,886.06 = 3,466.25/x
  3. Step 3: Cross multiply
    11,257.64x = 16,886.06 × 3,466.25
  4. Step 4: Simplify right side
    11,257.64x = 58,531,288.14
  5. Step 5: Solve for x
    x = 58,531,288.14/11,257.64
  6. Step 6: Final answer
    x = 5,199.25

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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.