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Finding the Fourth Proportional to 7,958.50, 11,945.04 and 4,065.64

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Solution

The fourth proportional to 7,958.50, 11,945.04 and 4,065.64 is: 6,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.50 : 11,945.04 = 4,065.64 : x
  2. Step 2: Convert to fraction form
    7,958.50/11,945.04 = 4,065.64/x
  3. Step 3: Cross multiply
    7,958.50x = 11,945.04 × 4,065.64
  4. Step 4: Simplify right side
    7,958.50x = 48,564,232.43
  5. Step 5: Solve for x
    x = 48,564,232.43/7,958.50
  6. Step 6: Final answer
    x = 6,102.18

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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.