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Finding the Fourth Proportional to 12,284.78, 16,952.48 and 6,979

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Solution

The fourth proportional to 12,284.78, 16,952.48 and 6,979 is: 9,630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.78 : 16,952.48 = 6,979 : x
  2. Step 2: Convert to fraction form
    12,284.78/16,952.48 = 6,979/x
  3. Step 3: Cross multiply
    12,284.78x = 16,952.48 × 6,979
  4. Step 4: Simplify right side
    12,284.78x = 118,311,357.92
  5. Step 5: Solve for x
    x = 118,311,357.92/12,284.78
  6. Step 6: Final answer
    x = 9,630.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.