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Finding the Fourth Proportional to 7,873.05, 11,805.24 and 3,124.41

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Solution

The fourth proportional to 7,873.05, 11,805.24 and 3,124.41 is: 4,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.05 : 11,805.24 = 3,124.41 : x
  2. Step 2: Convert to fraction form
    7,873.05/11,805.24 = 3,124.41/x
  3. Step 3: Cross multiply
    7,873.05x = 11,805.24 × 3,124.41
  4. Step 4: Simplify right side
    7,873.05x = 36,884,409.91
  5. Step 5: Solve for x
    x = 36,884,409.91/7,873.05
  6. Step 6: Final answer
    x = 4,684.89

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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.