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Finding the Fourth Proportional to 7,236.64, 10,857.57 and 2,851.66

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Solution

The fourth proportional to 7,236.64, 10,857.57 and 2,851.66 is: 4,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,236.64 : 10,857.57 = 2,851.66 : x
  2. Step 2: Convert to fraction form
    7,236.64/10,857.57 = 2,851.66/x
  3. Step 3: Cross multiply
    7,236.64x = 10,857.57 × 2,851.66
  4. Step 4: Simplify right side
    7,236.64x = 30,962,098.07
  5. Step 5: Solve for x
    x = 30,962,098.07/7,236.64
  6. Step 6: Final answer
    x = 4,278.52

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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.