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Finding the Fourth Proportional to 7,057.20, 10,564.20 and 5,113.20

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Solution

The fourth proportional to 7,057.20, 10,564.20 and 5,113.20 is: 7,654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.20 : 10,564.20 = 5,113.20 : x
  2. Step 2: Convert to fraction form
    7,057.20/10,564.20 = 5,113.20/x
  3. Step 3: Cross multiply
    7,057.20x = 10,564.20 × 5,113.20
  4. Step 4: Simplify right side
    7,057.20x = 54,016,867.44
  5. Step 5: Solve for x
    x = 54,016,867.44/7,057.20
  6. Step 6: Final answer
    x = 7,654.15

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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.