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Finding the Fourth Proportional to 10,819.25, 14,930.61 and 5,851.25

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Solution

The fourth proportional to 10,819.25, 14,930.61 and 5,851.25 is: 8,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.25 : 14,930.61 = 5,851.25 : x
  2. Step 2: Convert to fraction form
    10,819.25/14,930.61 = 5,851.25/x
  3. Step 3: Cross multiply
    10,819.25x = 14,930.61 × 5,851.25
  4. Step 4: Simplify right side
    10,819.25x = 87,362,731.76
  5. Step 5: Solve for x
    x = 87,362,731.76/10,819.25
  6. Step 6: Final answer
    x = 8,074.75

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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.