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Finding the Fourth Proportional to 11,140.96, 16,714.74 and 4,216

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Solution

The fourth proportional to 11,140.96, 16,714.74 and 4,216 is: 6,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.96 : 16,714.74 = 4,216 : x
  2. Step 2: Convert to fraction form
    11,140.96/16,714.74 = 4,216/x
  3. Step 3: Cross multiply
    11,140.96x = 16,714.74 × 4,216
  4. Step 4: Simplify right side
    11,140.96x = 70,469,343.84
  5. Step 5: Solve for x
    x = 70,469,343.84/11,140.96
  6. Step 6: Final answer
    x = 6,325.25

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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.