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Finding the Fourth Proportional to 7,030.50, 10,536.63 and 2,865.73

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Solution

The fourth proportional to 7,030.50, 10,536.63 and 2,865.73 is: 4,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.50 : 10,536.63 = 2,865.73 : x
  2. Step 2: Convert to fraction form
    7,030.50/10,536.63 = 2,865.73/x
  3. Step 3: Cross multiply
    7,030.50x = 10,536.63 × 2,865.73
  4. Step 4: Simplify right side
    7,030.50x = 30,195,135.48
  5. Step 5: Solve for x
    x = 30,195,135.48/7,030.50
  6. Step 6: Final answer
    x = 4,294.88

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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.