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Finding the Fourth Proportional to 6,957.31, 10,435.65 and 2,026.84

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Solution

The fourth proportional to 6,957.31, 10,435.65 and 2,026.84 is: 3,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.31 : 10,435.65 = 2,026.84 : x
  2. Step 2: Convert to fraction form
    6,957.31/10,435.65 = 2,026.84/x
  3. Step 3: Cross multiply
    6,957.31x = 10,435.65 × 2,026.84
  4. Step 4: Simplify right side
    6,957.31x = 21,151,392.85
  5. Step 5: Solve for x
    x = 21,151,392.85/6,957.31
  6. Step 6: Final answer
    x = 3,040.17

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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.