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Finding the Fourth Proportional to 6,957.84, 10,425.82 and 5,380.41

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Solution

The fourth proportional to 6,957.84, 10,425.82 and 5,380.41 is: 8,062.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.84 : 10,425.82 = 5,380.41 : x
  2. Step 2: Convert to fraction form
    6,957.84/10,425.82 = 5,380.41/x
  3. Step 3: Cross multiply
    6,957.84x = 10,425.82 × 5,380.41
  4. Step 4: Simplify right side
    6,957.84x = 56,095,172.74
  5. Step 5: Solve for x
    x = 56,095,172.74/6,957.84
  6. Step 6: Final answer
    x = 8,062.15

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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.