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Finding the Fourth Proportional to 11,477.32, 17,217.20 and 4,082.47

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Solution

The fourth proportional to 11,477.32, 17,217.20 and 4,082.47 is: 6,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.32 : 17,217.20 = 4,082.47 : x
  2. Step 2: Convert to fraction form
    11,477.32/17,217.20 = 4,082.47/x
  3. Step 3: Cross multiply
    11,477.32x = 17,217.20 × 4,082.47
  4. Step 4: Simplify right side
    11,477.32x = 70,288,595.99
  5. Step 5: Solve for x
    x = 70,288,595.99/11,477.32
  6. Step 6: Final answer
    x = 6,124.13

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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.