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Finding the Fourth Proportional to 12,034.92, 16,608.42 and 6,730.32

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Solution

The fourth proportional to 12,034.92, 16,608.42 and 6,730.32 is: 9,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.92 : 16,608.42 = 6,730.32 : x
  2. Step 2: Convert to fraction form
    12,034.92/16,608.42 = 6,730.32/x
  3. Step 3: Cross multiply
    12,034.92x = 16,608.42 × 6,730.32
  4. Step 4: Simplify right side
    12,034.92x = 111,779,981.29
  5. Step 5: Solve for x
    x = 111,779,981.29/12,034.92
  6. Step 6: Final answer
    x = 9,287.97

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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.