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Finding the Fourth Proportional to 10,121.20, 15,214.20 and 7,219.60

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Solution

The fourth proportional to 10,121.20, 15,214.20 and 7,219.60 is: 10,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.20 : 15,214.20 = 7,219.60 : x
  2. Step 2: Convert to fraction form
    10,121.20/15,214.20 = 7,219.60/x
  3. Step 3: Cross multiply
    10,121.20x = 15,214.20 × 7,219.60
  4. Step 4: Simplify right side
    10,121.20x = 109,840,438.32
  5. Step 5: Solve for x
    x = 109,840,438.32/10,121.20
  6. Step 6: Final answer
    x = 10,852.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.