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Finding the Fourth Proportional to 11,700.22, 16,149.12 and 6,665.68

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Solution

The fourth proportional to 11,700.22, 16,149.12 and 6,665.68 is: 9,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.22 : 16,149.12 = 6,665.68 : x
  2. Step 2: Convert to fraction form
    11,700.22/16,149.12 = 6,665.68/x
  3. Step 3: Cross multiply
    11,700.22x = 16,149.12 × 6,665.68
  4. Step 4: Simplify right side
    11,700.22x = 107,644,834.00
  5. Step 5: Solve for x
    x = 107,644,834.00/11,700.22
  6. Step 6: Final answer
    x = 9,200.24

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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.