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Finding the Fourth Proportional to 12,283.29, 16,951.82 and 6,978.51

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Solution

The fourth proportional to 12,283.29, 16,951.82 and 6,978.51 is: 9,630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.29 : 16,951.82 = 6,978.51 : x
  2. Step 2: Convert to fraction form
    12,283.29/16,951.82 = 6,978.51/x
  3. Step 3: Cross multiply
    12,283.29x = 16,951.82 × 6,978.51
  4. Step 4: Simplify right side
    12,283.29x = 118,298,410.50
  5. Step 5: Solve for x
    x = 118,298,410.50/12,283.29
  6. Step 6: Final answer
    x = 9,630.84

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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.