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Finding the Fourth Proportional to 7,036.80, 10,542.40 and 5,731.20

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Solution

The fourth proportional to 7,036.80, 10,542.40 and 5,731.20 is: 8,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.80 : 10,542.40 = 5,731.20 : x
  2. Step 2: Convert to fraction form
    7,036.80/10,542.40 = 5,731.20/x
  3. Step 3: Cross multiply
    7,036.80x = 10,542.40 × 5,731.20
  4. Step 4: Simplify right side
    7,036.80x = 60,420,602.88
  5. Step 5: Solve for x
    x = 60,420,602.88/7,036.80
  6. Step 6: Final answer
    x = 8,586.37

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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.