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Finding the Fourth Proportional to 10,415.73, 15,623.69 and 2,624.54

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Solution

The fourth proportional to 10,415.73, 15,623.69 and 2,624.54 is: 3,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.73 : 15,623.69 = 2,624.54 : x
  2. Step 2: Convert to fraction form
    10,415.73/15,623.69 = 2,624.54/x
  3. Step 3: Cross multiply
    10,415.73x = 15,623.69 × 2,624.54
  4. Step 4: Simplify right side
    10,415.73x = 41,004,981.46
  5. Step 5: Solve for x
    x = 41,004,981.46/10,415.73
  6. Step 6: Final answer
    x = 3,936.83

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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.