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Finding the Fourth Proportional to 11,766.02, 16,237.17 and 6,730.46

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Solution

The fourth proportional to 11,766.02, 16,237.17 and 6,730.46 is: 9,288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.02 : 16,237.17 = 6,730.46 : x
  2. Step 2: Convert to fraction form
    11,766.02/16,237.17 = 6,730.46/x
  3. Step 3: Cross multiply
    11,766.02x = 16,237.17 × 6,730.46
  4. Step 4: Simplify right side
    11,766.02x = 109,283,623.20
  5. Step 5: Solve for x
    x = 109,283,623.20/11,766.02
  6. Step 6: Final answer
    x = 9,288.07

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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.