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Finding the Fourth Proportional to 7,129.14, 10,687.20 and 3,178.32

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Solution

The fourth proportional to 7,129.14, 10,687.20 and 3,178.32 is: 4,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.14 : 10,687.20 = 3,178.32 : x
  2. Step 2: Convert to fraction form
    7,129.14/10,687.20 = 3,178.32/x
  3. Step 3: Cross multiply
    7,129.14x = 10,687.20 × 3,178.32
  4. Step 4: Simplify right side
    7,129.14x = 33,967,341.50
  5. Step 5: Solve for x
    x = 33,967,341.50/7,129.14
  6. Step 6: Final answer
    x = 4,764.58

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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.