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Finding the Fourth Proportional to 10,900.50, 16,260.25 and 10,536.06

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Solution

The fourth proportional to 10,900.50, 16,260.25 and 10,536.06 is: 15,716.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.50 : 16,260.25 = 10,536.06 : x
  2. Step 2: Convert to fraction form
    10,900.50/16,260.25 = 10,536.06/x
  3. Step 3: Cross multiply
    10,900.50x = 16,260.25 × 10,536.06
  4. Step 4: Simplify right side
    10,900.50x = 171,318,969.62
  5. Step 5: Solve for x
    x = 171,318,969.62/10,900.50
  6. Step 6: Final answer
    x = 15,716.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.