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Finding the Fourth Proportional to 7,820.64, 11,731.44 and 2,627.28

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Solution

The fourth proportional to 7,820.64, 11,731.44 and 2,627.28 is: 3,941.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.64 : 11,731.44 = 2,627.28 : x
  2. Step 2: Convert to fraction form
    7,820.64/11,731.44 = 2,627.28/x
  3. Step 3: Cross multiply
    7,820.64x = 11,731.44 × 2,627.28
  4. Step 4: Simplify right side
    7,820.64x = 30,821,777.68
  5. Step 5: Solve for x
    x = 30,821,777.68/7,820.64
  6. Step 6: Final answer
    x = 3,941.08

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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.