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Finding the Fourth Proportional to 10,819, 14,930.27 and 5,851

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Solution

The fourth proportional to 10,819, 14,930.27 and 5,851 is: 8,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819 : 14,930.27 = 5,851 : x
  2. Step 2: Convert to fraction form
    10,819/14,930.27 = 5,851/x
  3. Step 3: Cross multiply
    10,819x = 14,930.27 × 5,851
  4. Step 4: Simplify right side
    10,819x = 87,357,009.77
  5. Step 5: Solve for x
    x = 87,357,009.77/10,819
  6. Step 6: Final answer
    x = 8,074.41

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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.