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Finding the Fourth Proportional to 10,639.56, 15,969.06 and 8,166.36

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Solution

The fourth proportional to 10,639.56, 15,969.06 and 8,166.36 is: 12,257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.56 : 15,969.06 = 8,166.36 : x
  2. Step 2: Convert to fraction form
    10,639.56/15,969.06 = 8,166.36/x
  3. Step 3: Cross multiply
    10,639.56x = 15,969.06 × 8,166.36
  4. Step 4: Simplify right side
    10,639.56x = 130,409,092.82
  5. Step 5: Solve for x
    x = 130,409,092.82/10,639.56
  6. Step 6: Final answer
    x = 12,257.00

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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.