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Finding the Fourth Proportional to 11,842.08, 16,340.08 and 6,805.20

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Solution

The fourth proportional to 11,842.08, 16,340.08 and 6,805.20 is: 9,390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.08 : 16,340.08 = 6,805.20 : x
  2. Step 2: Convert to fraction form
    11,842.08/16,340.08 = 6,805.20/x
  3. Step 3: Cross multiply
    11,842.08x = 16,340.08 × 6,805.20
  4. Step 4: Simplify right side
    11,842.08x = 111,197,512.42
  5. Step 5: Solve for x
    x = 111,197,512.42/11,842.08
  6. Step 6: Final answer
    x = 9,390.03

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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.