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Finding the Fourth Proportional to 10,014.87, 13,815.27 and 8,128.56

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Solution

The fourth proportional to 10,014.87, 13,815.27 and 8,128.56 is: 11,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.87 : 13,815.27 = 8,128.56 : x
  2. Step 2: Convert to fraction form
    10,014.87/13,815.27 = 8,128.56/x
  3. Step 3: Cross multiply
    10,014.87x = 13,815.27 × 8,128.56
  4. Step 4: Simplify right side
    10,014.87x = 112,298,251.11
  5. Step 5: Solve for x
    x = 112,298,251.11/10,014.87
  6. Step 6: Final answer
    x = 11,213.15

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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.