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Finding the Fourth Proportional to 11,652.22, 16,080.96 and 6,618.02

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Solution

The fourth proportional to 11,652.22, 16,080.96 and 6,618.02 is: 9,133.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.22 : 16,080.96 = 6,618.02 : x
  2. Step 2: Convert to fraction form
    11,652.22/16,080.96 = 6,618.02/x
  3. Step 3: Cross multiply
    11,652.22x = 16,080.96 × 6,618.02
  4. Step 4: Simplify right side
    11,652.22x = 106,424,114.90
  5. Step 5: Solve for x
    x = 106,424,114.90/11,652.22
  6. Step 6: Final answer
    x = 9,133.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.