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Finding the Fourth Proportional to 11,398.97, 15,727.80 and 6,682.34

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Solution

The fourth proportional to 11,398.97, 15,727.80 and 6,682.34 is: 9,220.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.97 : 15,727.80 = 6,682.34 : x
  2. Step 2: Convert to fraction form
    11,398.97/15,727.80 = 6,682.34/x
  3. Step 3: Cross multiply
    11,398.97x = 15,727.80 × 6,682.34
  4. Step 4: Simplify right side
    11,398.97x = 105,098,527.20
  5. Step 5: Solve for x
    x = 105,098,527.20/11,398.97
  6. Step 6: Final answer
    x = 9,220.00

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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.