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Finding the Fourth Proportional to 26,492.64, 39,734.04 and 7,768.56

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Solution

The fourth proportional to 26,492.64, 39,734.04 and 7,768.56 is: 11,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,492.64 : 39,734.04 = 7,768.56 : x
  2. Step 2: Convert to fraction form
    26,492.64/39,734.04 = 7,768.56/x
  3. Step 3: Cross multiply
    26,492.64x = 39,734.04 × 7,768.56
  4. Step 4: Simplify right side
    26,492.64x = 308,676,273.78
  5. Step 5: Solve for x
    x = 308,676,273.78/26,492.64
  6. Step 6: Final answer
    x = 11,651.40

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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.