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Finding the Fourth Proportional to 11,142.21, 16,714.14 and 3,746.64

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Solution

The fourth proportional to 11,142.21, 16,714.14 and 3,746.64 is: 5,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142.21 : 16,714.14 = 3,746.64 : x
  2. Step 2: Convert to fraction form
    11,142.21/16,714.14 = 3,746.64/x
  3. Step 3: Cross multiply
    11,142.21x = 16,714.14 × 3,746.64
  4. Step 4: Simplify right side
    11,142.21x = 62,621,865.49
  5. Step 5: Solve for x
    x = 62,621,865.49/11,142.21
  6. Step 6: Final answer
    x = 5,620.24

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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.