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Finding the Fourth Proportional to 10,202.70, 14,078.88 and 6,171.02

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Solution

The fourth proportional to 10,202.70, 14,078.88 and 6,171.02 is: 8,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.70 : 14,078.88 = 6,171.02 : x
  2. Step 2: Convert to fraction form
    10,202.70/14,078.88 = 6,171.02/x
  3. Step 3: Cross multiply
    10,202.70x = 14,078.88 × 6,171.02
  4. Step 4: Simplify right side
    10,202.70x = 86,880,979.66
  5. Step 5: Solve for x
    x = 86,880,979.66/10,202.70
  6. Step 6: Final answer
    x = 8,515.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.