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Finding the Fourth Proportional to 11,082.94, 16,629.27 and 6,465.94

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Solution

The fourth proportional to 11,082.94, 16,629.27 and 6,465.94 is: 9,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.94 : 16,629.27 = 6,465.94 : x
  2. Step 2: Convert to fraction form
    11,082.94/16,629.27 = 6,465.94/x
  3. Step 3: Cross multiply
    11,082.94x = 16,629.27 × 6,465.94
  4. Step 4: Simplify right side
    11,082.94x = 107,523,796.24
  5. Step 5: Solve for x
    x = 107,523,796.24/11,082.94
  6. Step 6: Final answer
    x = 9,701.74

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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.