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Finding the Fourth Proportional to 10,158.05, 15,237.41 and 3,494.48

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Solution

The fourth proportional to 10,158.05, 15,237.41 and 3,494.48 is: 5,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.05 : 15,237.41 = 3,494.48 : x
  2. Step 2: Convert to fraction form
    10,158.05/15,237.41 = 3,494.48/x
  3. Step 3: Cross multiply
    10,158.05x = 15,237.41 × 3,494.48
  4. Step 4: Simplify right side
    10,158.05x = 53,246,807.02
  5. Step 5: Solve for x
    x = 53,246,807.02/10,158.05
  6. Step 6: Final answer
    x = 5,241.84

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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.