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Finding the Fourth Proportional to 6,957.64, 10,422.54 and 4,182.78

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Solution

The fourth proportional to 6,957.64, 10,422.54 and 4,182.78 is: 6,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.64 : 10,422.54 = 4,182.78 : x
  2. Step 2: Convert to fraction form
    6,957.64/10,422.54 = 4,182.78/x
  3. Step 3: Cross multiply
    6,957.64x = 10,422.54 × 4,182.78
  4. Step 4: Simplify right side
    6,957.64x = 43,595,170.95
  5. Step 5: Solve for x
    x = 43,595,170.95/6,957.64
  6. Step 6: Final answer
    x = 6,265.80

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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.