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Finding the Fourth Proportional to 7,978.32, 11,967.50 and 2,134.94

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Solution

The fourth proportional to 7,978.32, 11,967.50 and 2,134.94 is: 3,202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.32 : 11,967.50 = 2,134.94 : x
  2. Step 2: Convert to fraction form
    7,978.32/11,967.50 = 2,134.94/x
  3. Step 3: Cross multiply
    7,978.32x = 11,967.50 × 2,134.94
  4. Step 4: Simplify right side
    7,978.32x = 25,549,894.45
  5. Step 5: Solve for x
    x = 25,549,894.45/7,978.32
  6. Step 6: Final answer
    x = 3,202.42

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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.