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Finding the Fourth Proportional to 10,415.13, 15,622.70 and 3,494.49

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Solution

The fourth proportional to 10,415.13, 15,622.70 and 3,494.49 is: 5,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.13 : 15,622.70 = 3,494.49 : x
  2. Step 2: Convert to fraction form
    10,415.13/15,622.70 = 3,494.49/x
  3. Step 3: Cross multiply
    10,415.13x = 15,622.70 × 3,494.49
  4. Step 4: Simplify right side
    10,415.13x = 54,593,351.45
  5. Step 5: Solve for x
    x = 54,593,351.45/10,415.13
  6. Step 6: Final answer
    x = 5,241.74

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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.