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Finding the Fourth Proportional to 7,967.13, 11,952.14 and 3,284.52

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Solution

The fourth proportional to 7,967.13, 11,952.14 and 3,284.52 is: 4,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.13 : 11,952.14 = 3,284.52 : x
  2. Step 2: Convert to fraction form
    7,967.13/11,952.14 = 3,284.52/x
  3. Step 3: Cross multiply
    7,967.13x = 11,952.14 × 3,284.52
  4. Step 4: Simplify right side
    7,967.13x = 39,257,026.45
  5. Step 5: Solve for x
    x = 39,257,026.45/7,967.13
  6. Step 6: Final answer
    x = 4,927.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.