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Finding the Fourth Proportional to 12,580.53, 18,863.50 and 5,176.62

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Solution

The fourth proportional to 12,580.53, 18,863.50 and 5,176.62 is: 7,761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.53 : 18,863.50 = 5,176.62 : x
  2. Step 2: Convert to fraction form
    12,580.53/18,863.50 = 5,176.62/x
  3. Step 3: Cross multiply
    12,580.53x = 18,863.50 × 5,176.62
  4. Step 4: Simplify right side
    12,580.53x = 97,649,171.37
  5. Step 5: Solve for x
    x = 97,649,171.37/12,580.53
  6. Step 6: Final answer
    x = 7,761.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.