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Finding the Fourth Proportional to 10,624.67, 14,664.17 and 8,102.28

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Solution

The fourth proportional to 10,624.67, 14,664.17 and 8,102.28 is: 11,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.67 : 14,664.17 = 8,102.28 : x
  2. Step 2: Convert to fraction form
    10,624.67/14,664.17 = 8,102.28/x
  3. Step 3: Cross multiply
    10,624.67x = 14,664.17 × 8,102.28
  4. Step 4: Simplify right side
    10,624.67x = 118,813,170.80
  5. Step 5: Solve for x
    x = 118,813,170.80/10,624.67
  6. Step 6: Final answer
    x = 11,182.77

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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.