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Finding the Fourth Proportional to 6,851.37, 10,277.51 and 1,921.20

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Solution

The fourth proportional to 6,851.37, 10,277.51 and 1,921.20 is: 2,881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.37 : 10,277.51 = 1,921.20 : x
  2. Step 2: Convert to fraction form
    6,851.37/10,277.51 = 1,921.20/x
  3. Step 3: Cross multiply
    6,851.37x = 10,277.51 × 1,921.20
  4. Step 4: Simplify right side
    6,851.37x = 19,745,152.21
  5. Step 5: Solve for x
    x = 19,745,152.21/6,851.37
  6. Step 6: Final answer
    x = 2,881.93

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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.