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Finding the Fourth Proportional to 11,220.42, 16,830.02 and 3,428.64

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Solution

The fourth proportional to 11,220.42, 16,830.02 and 3,428.64 is: 5,142.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220.42 : 16,830.02 = 3,428.64 : x
  2. Step 2: Convert to fraction form
    11,220.42/16,830.02 = 3,428.64/x
  3. Step 3: Cross multiply
    11,220.42x = 16,830.02 × 3,428.64
  4. Step 4: Simplify right side
    11,220.42x = 57,704,079.77
  5. Step 5: Solve for x
    x = 57,704,079.77/11,220.42
  6. Step 6: Final answer
    x = 5,142.77

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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.