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Finding the Fourth Proportional to 7,967.99, 11,937 and 4,671.29

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Solution

The fourth proportional to 7,967.99, 11,937 and 4,671.29 is: 6,998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.99 : 11,937 = 4,671.29 : x
  2. Step 2: Convert to fraction form
    7,967.99/11,937 = 4,671.29/x
  3. Step 3: Cross multiply
    7,967.99x = 11,937 × 4,671.29
  4. Step 4: Simplify right side
    7,967.99x = 55,761,188.73
  5. Step 5: Solve for x
    x = 55,761,188.73/7,967.99
  6. Step 6: Final answer
    x = 6,998.15

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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.