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Finding the Fourth Proportional to 11,797.61, 16,280.69 and 6,492.60

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Solution

The fourth proportional to 11,797.61, 16,280.69 and 6,492.60 is: 8,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.61 : 16,280.69 = 6,492.60 : x
  2. Step 2: Convert to fraction form
    11,797.61/16,280.69 = 6,492.60/x
  3. Step 3: Cross multiply
    11,797.61x = 16,280.69 × 6,492.60
  4. Step 4: Simplify right side
    11,797.61x = 105,703,975.43
  5. Step 5: Solve for x
    x = 105,703,975.43/11,797.61
  6. Step 6: Final answer
    x = 8,959.78

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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.