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Finding the Fourth Proportional to 11,200.02, 16,801.84 and 3,407

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Solution

The fourth proportional to 11,200.02, 16,801.84 and 3,407 is: 5,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.02 : 16,801.84 = 3,407 : x
  2. Step 2: Convert to fraction form
    11,200.02/16,801.84 = 3,407/x
  3. Step 3: Cross multiply
    11,200.02x = 16,801.84 × 3,407
  4. Step 4: Simplify right side
    11,200.02x = 57,243,868.88
  5. Step 5: Solve for x
    x = 57,243,868.88/11,200.02
  6. Step 6: Final answer
    x = 5,111.05

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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.