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Finding the Fourth Proportional to 7,763.20, 11,627.36 and 6,026.56

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Solution

The fourth proportional to 7,763.20, 11,627.36 and 6,026.56 is: 9,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.20 : 11,627.36 = 6,026.56 : x
  2. Step 2: Convert to fraction form
    7,763.20/11,627.36 = 6,026.56/x
  3. Step 3: Cross multiply
    7,763.20x = 11,627.36 × 6,026.56
  4. Step 4: Simplify right side
    7,763.20x = 70,072,982.68
  5. Step 5: Solve for x
    x = 70,072,982.68/7,763.20
  6. Step 6: Final answer
    x = 9,026.30

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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.