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Finding the Fourth Proportional to 7,978.94, 11,968.84 and 2,432.46

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Solution

The fourth proportional to 7,978.94, 11,968.84 and 2,432.46 is: 3,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.94 : 11,968.84 = 2,432.46 : x
  2. Step 2: Convert to fraction form
    7,978.94/11,968.84 = 2,432.46/x
  3. Step 3: Cross multiply
    7,978.94x = 11,968.84 × 2,432.46
  4. Step 4: Simplify right side
    7,978.94x = 29,113,724.55
  5. Step 5: Solve for x
    x = 29,113,724.55/7,978.94
  6. Step 6: Final answer
    x = 3,648.82

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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.