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Finding the Fourth Proportional to 10,501.38, 15,754.95 and 5,504.09

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Solution

The fourth proportional to 10,501.38, 15,754.95 and 5,504.09 is: 8,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.38 : 15,754.95 = 5,504.09 : x
  2. Step 2: Convert to fraction form
    10,501.38/15,754.95 = 5,504.09/x
  3. Step 3: Cross multiply
    10,501.38x = 15,754.95 × 5,504.09
  4. Step 4: Simplify right side
    10,501.38x = 86,716,583.97
  5. Step 5: Solve for x
    x = 86,716,583.97/10,501.38
  6. Step 6: Final answer
    x = 8,257.64

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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.