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Finding the Fourth Proportional to 11,978.61, 17,967.30 and 4,582.50

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Solution

The fourth proportional to 11,978.61, 17,967.30 and 4,582.50 is: 6,873.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.61 : 17,967.30 = 4,582.50 : x
  2. Step 2: Convert to fraction form
    11,978.61/17,967.30 = 4,582.50/x
  3. Step 3: Cross multiply
    11,978.61x = 17,967.30 × 4,582.50
  4. Step 4: Simplify right side
    11,978.61x = 82,335,067.69
  5. Step 5: Solve for x
    x = 82,335,067.69/11,978.61
  6. Step 6: Final answer
    x = 6,873.51

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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.