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Finding the Fourth Proportional to 11,948.84, 16,489.06 and 6,643.56

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Solution

The fourth proportional to 11,948.84, 16,489.06 and 6,643.56 is: 9,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.84 : 16,489.06 = 6,643.56 : x
  2. Step 2: Convert to fraction form
    11,948.84/16,489.06 = 6,643.56/x
  3. Step 3: Cross multiply
    11,948.84x = 16,489.06 × 6,643.56
  4. Step 4: Simplify right side
    11,948.84x = 109,546,059.45
  5. Step 5: Solve for x
    x = 109,546,059.45/11,948.84
  6. Step 6: Final answer
    x = 9,167.92

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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.