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Finding the Fourth Proportional to 10,415.18, 15,620.34 and 3,489.68

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Solution

The fourth proportional to 10,415.18, 15,620.34 and 3,489.68 is: 5,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.18 : 15,620.34 = 3,489.68 : x
  2. Step 2: Convert to fraction form
    10,415.18/15,620.34 = 3,489.68/x
  3. Step 3: Cross multiply
    10,415.18x = 15,620.34 × 3,489.68
  4. Step 4: Simplify right side
    10,415.18x = 54,509,988.09
  5. Step 5: Solve for x
    x = 54,509,988.09/10,415.18
  6. Step 6: Final answer
    x = 5,233.71

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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.