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Finding the Fourth Proportional to 10,419.20, 15,628.80 and 3,493.70

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Solution

The fourth proportional to 10,419.20, 15,628.80 and 3,493.70 is: 5,240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.20 : 15,628.80 = 3,493.70 : x
  2. Step 2: Convert to fraction form
    10,419.20/15,628.80 = 3,493.70/x
  3. Step 3: Cross multiply
    10,419.20x = 15,628.80 × 3,493.70
  4. Step 4: Simplify right side
    10,419.20x = 54,602,338.56
  5. Step 5: Solve for x
    x = 54,602,338.56/10,419.20
  6. Step 6: Final answer
    x = 5,240.55

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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.