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Finding the Fourth Proportional to 11,082, 16,627.14 and 4,509.84

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Solution

The fourth proportional to 11,082, 16,627.14 and 4,509.84 is: 6,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082 : 16,627.14 = 4,509.84 : x
  2. Step 2: Convert to fraction form
    11,082/16,627.14 = 4,509.84/x
  3. Step 3: Cross multiply
    11,082x = 16,627.14 × 4,509.84
  4. Step 4: Simplify right side
    11,082x = 74,985,741.06
  5. Step 5: Solve for x
    x = 74,985,741.06/11,082
  6. Step 6: Final answer
    x = 6,766.44

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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.