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Finding the Fourth Proportional to 7,158.82, 10,724.31 and 4,029.28

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Solution

The fourth proportional to 7,158.82, 10,724.31 and 4,029.28 is: 6,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.82 : 10,724.31 = 4,029.28 : x
  2. Step 2: Convert to fraction form
    7,158.82/10,724.31 = 4,029.28/x
  3. Step 3: Cross multiply
    7,158.82x = 10,724.31 × 4,029.28
  4. Step 4: Simplify right side
    7,158.82x = 43,211,247.80
  5. Step 5: Solve for x
    x = 43,211,247.80/7,158.82
  6. Step 6: Final answer
    x = 6,036.09

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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.