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Finding the Fourth Proportional to 11,759.34, 16,228.16 and 6,724.02

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Solution

The fourth proportional to 11,759.34, 16,228.16 and 6,724.02 is: 9,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.34 : 16,228.16 = 6,724.02 : x
  2. Step 2: Convert to fraction form
    11,759.34/16,228.16 = 6,724.02/x
  3. Step 3: Cross multiply
    11,759.34x = 16,228.16 × 6,724.02
  4. Step 4: Simplify right side
    11,759.34x = 109,118,472.40
  5. Step 5: Solve for x
    x = 109,118,472.40/11,759.34
  6. Step 6: Final answer
    x = 9,279.30

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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.