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Finding the Fourth Proportional to 11,797.75, 16,280.70 and 6,492.46

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Solution

The fourth proportional to 11,797.75, 16,280.70 and 6,492.46 is: 8,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.75 : 16,280.70 = 6,492.46 : x
  2. Step 2: Convert to fraction form
    11,797.75/16,280.70 = 6,492.46/x
  3. Step 3: Cross multiply
    11,797.75x = 16,280.70 × 6,492.46
  4. Step 4: Simplify right side
    11,797.75x = 105,701,793.52
  5. Step 5: Solve for x
    x = 105,701,793.52/11,797.75
  6. Step 6: Final answer
    x = 8,959.49

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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.