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Finding the Fourth Proportional to 7,305.41, 10,958.04 and 3,148.35

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Solution

The fourth proportional to 7,305.41, 10,958.04 and 3,148.35 is: 4,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.41 : 10,958.04 = 3,148.35 : x
  2. Step 2: Convert to fraction form
    7,305.41/10,958.04 = 3,148.35/x
  3. Step 3: Cross multiply
    7,305.41x = 10,958.04 × 3,148.35
  4. Step 4: Simplify right side
    7,305.41x = 34,499,745.23
  5. Step 5: Solve for x
    x = 34,499,745.23/7,305.41
  6. Step 6: Final answer
    x = 4,722.50

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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.