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Finding the Fourth Proportional to 11,464.50, 17,199.63 and 3,256.50

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Solution

The fourth proportional to 11,464.50, 17,199.63 and 3,256.50 is: 4,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.50 : 17,199.63 = 3,256.50 : x
  2. Step 2: Convert to fraction form
    11,464.50/17,199.63 = 3,256.50/x
  3. Step 3: Cross multiply
    11,464.50x = 17,199.63 × 3,256.50
  4. Step 4: Simplify right side
    11,464.50x = 56,010,595.10
  5. Step 5: Solve for x
    x = 56,010,595.10/11,464.50
  6. Step 6: Final answer
    x = 4,885.57

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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.