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Finding the Fourth Proportional to 10,606.20, 15,890.10 and 8,647.80

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Solution

The fourth proportional to 10,606.20, 15,890.10 and 8,647.80 is: 12,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.20 : 15,890.10 = 8,647.80 : x
  2. Step 2: Convert to fraction form
    10,606.20/15,890.10 = 8,647.80/x
  3. Step 3: Cross multiply
    10,606.20x = 15,890.10 × 8,647.80
  4. Step 4: Simplify right side
    10,606.20x = 137,414,406.78
  5. Step 5: Solve for x
    x = 137,414,406.78/10,606.20
  6. Step 6: Final answer
    x = 12,956.05

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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.