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Finding the Fourth Proportional to 7,971.50, 11,962.38 and 3,354.50

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Solution

The fourth proportional to 7,971.50, 11,962.38 and 3,354.50 is: 5,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.50 : 11,962.38 = 3,354.50 : x
  2. Step 2: Convert to fraction form
    7,971.50/11,962.38 = 3,354.50/x
  3. Step 3: Cross multiply
    7,971.50x = 11,962.38 × 3,354.50
  4. Step 4: Simplify right side
    7,971.50x = 40,127,803.71
  5. Step 5: Solve for x
    x = 40,127,803.71/7,971.50
  6. Step 6: Final answer
    x = 5,033.91

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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.