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Finding the Fourth Proportional to 7,820.64, 11,729.70 and 2,892.60

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Solution

The fourth proportional to 7,820.64, 11,729.70 and 2,892.60 is: 4,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.64 : 11,729.70 = 2,892.60 : x
  2. Step 2: Convert to fraction form
    7,820.64/11,729.70 = 2,892.60/x
  3. Step 3: Cross multiply
    7,820.64x = 11,729.70 × 2,892.60
  4. Step 4: Simplify right side
    7,820.64x = 33,929,330.22
  5. Step 5: Solve for x
    x = 33,929,330.22/7,820.64
  6. Step 6: Final answer
    x = 4,338.43

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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.