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Finding the Fourth Proportional to 11,674.89, 16,109.15 and 6,959.61

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Solution

The fourth proportional to 11,674.89, 16,109.15 and 6,959.61 is: 9,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.89 : 16,109.15 = 6,959.61 : x
  2. Step 2: Convert to fraction form
    11,674.89/16,109.15 = 6,959.61/x
  3. Step 3: Cross multiply
    11,674.89x = 16,109.15 × 6,959.61
  4. Step 4: Simplify right side
    11,674.89x = 112,113,366.63
  5. Step 5: Solve for x
    x = 112,113,366.63/11,674.89
  6. Step 6: Final answer
    x = 9,602.95

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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.