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Finding the Fourth Proportional to 10,288.20, 15,410.70 and 8,560.20

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Solution

The fourth proportional to 10,288.20, 15,410.70 and 8,560.20 is: 12,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.20 : 15,410.70 = 8,560.20 : x
  2. Step 2: Convert to fraction form
    10,288.20/15,410.70 = 8,560.20/x
  3. Step 3: Cross multiply
    10,288.20x = 15,410.70 × 8,560.20
  4. Step 4: Simplify right side
    10,288.20x = 131,918,674.14
  5. Step 5: Solve for x
    x = 131,918,674.14/10,288.20
  6. Step 6: Final answer
    x = 12,822.33

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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.