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Finding the Fourth Proportional to 10,857.60, 14,963.40 and 8,200.80

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Solution

The fourth proportional to 10,857.60, 14,963.40 and 8,200.80 is: 11,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.60 : 14,963.40 = 8,200.80 : x
  2. Step 2: Convert to fraction form
    10,857.60/14,963.40 = 8,200.80/x
  3. Step 3: Cross multiply
    10,857.60x = 14,963.40 × 8,200.80
  4. Step 4: Simplify right side
    10,857.60x = 122,711,850.72
  5. Step 5: Solve for x
    x = 122,711,850.72/10,857.60
  6. Step 6: Final answer
    x = 11,301.93

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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.