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Finding the Fourth Proportional to 11,658.16, 16,089.60 and 6,942.88

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Solution

The fourth proportional to 11,658.16, 16,089.60 and 6,942.88 is: 9,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.16 : 16,089.60 = 6,942.88 : x
  2. Step 2: Convert to fraction form
    11,658.16/16,089.60 = 6,942.88/x
  3. Step 3: Cross multiply
    11,658.16x = 16,089.60 × 6,942.88
  4. Step 4: Simplify right side
    11,658.16x = 111,708,162.05
  5. Step 5: Solve for x
    x = 111,708,162.05/11,658.16
  6. Step 6: Final answer
    x = 9,581.97

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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.