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Finding the Fourth Proportional to 10,640.70, 14,683.86 and 6,164.82

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Solution

The fourth proportional to 10,640.70, 14,683.86 and 6,164.82 is: 8,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.70 : 14,683.86 = 6,164.82 : x
  2. Step 2: Convert to fraction form
    10,640.70/14,683.86 = 6,164.82/x
  3. Step 3: Cross multiply
    10,640.70x = 14,683.86 × 6,164.82
  4. Step 4: Simplify right side
    10,640.70x = 90,523,353.81
  5. Step 5: Solve for x
    x = 90,523,353.81/10,640.70
  6. Step 6: Final answer
    x = 8,507.27

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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.