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Finding the Fourth Proportional to 7,144.20, 9,875.52 and 5,958.36

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Solution

The fourth proportional to 7,144.20, 9,875.52 and 5,958.36 is: 8,236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.20 : 9,875.52 = 5,958.36 : x
  2. Step 2: Convert to fraction form
    7,144.20/9,875.52 = 5,958.36/x
  3. Step 3: Cross multiply
    7,144.20x = 9,875.52 × 5,958.36
  4. Step 4: Simplify right side
    7,144.20x = 58,841,903.35
  5. Step 5: Solve for x
    x = 58,841,903.35/7,144.20
  6. Step 6: Final answer
    x = 8,236.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.