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Finding the Fourth Proportional to 11,064.94, 16,602.50 and 5,138.03

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Solution

The fourth proportional to 11,064.94, 16,602.50 and 5,138.03 is: 7,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,064.94 : 16,602.50 = 5,138.03 : x
  2. Step 2: Convert to fraction form
    11,064.94/16,602.50 = 5,138.03/x
  3. Step 3: Cross multiply
    11,064.94x = 16,602.50 × 5,138.03
  4. Step 4: Simplify right side
    11,064.94x = 85,304,197.43
  5. Step 5: Solve for x
    x = 85,304,197.43/11,064.94
  6. Step 6: Final answer
    x = 7,709.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.