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Finding the Fourth Proportional to 6,706.62, 10,014.75 and 5,476.41

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Solution

The fourth proportional to 6,706.62, 10,014.75 and 5,476.41 is: 8,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.62 : 10,014.75 = 5,476.41 : x
  2. Step 2: Convert to fraction form
    6,706.62/10,014.75 = 5,476.41/x
  3. Step 3: Cross multiply
    6,706.62x = 10,014.75 × 5,476.41
  4. Step 4: Simplify right side
    6,706.62x = 54,844,877.05
  5. Step 5: Solve for x
    x = 54,844,877.05/6,706.62
  6. Step 6: Final answer
    x = 8,177.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.