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Finding the Fourth Proportional to 11,023, 15,211.86 and 6,055

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Solution

The fourth proportional to 11,023, 15,211.86 and 6,055 is: 8,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023 : 15,211.86 = 6,055 : x
  2. Step 2: Convert to fraction form
    11,023/15,211.86 = 6,055/x
  3. Step 3: Cross multiply
    11,023x = 15,211.86 × 6,055
  4. Step 4: Simplify right side
    11,023x = 92,107,812.30
  5. Step 5: Solve for x
    x = 92,107,812.30/11,023
  6. Step 6: Final answer
    x = 8,355.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.