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Finding the Fourth Proportional to 10,493.79, 14,481.23 and 5,778.15

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Solution

The fourth proportional to 10,493.79, 14,481.23 and 5,778.15 is: 7,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.79 : 14,481.23 = 5,778.15 : x
  2. Step 2: Convert to fraction form
    10,493.79/14,481.23 = 5,778.15/x
  3. Step 3: Cross multiply
    10,493.79x = 14,481.23 × 5,778.15
  4. Step 4: Simplify right side
    10,493.79x = 83,674,690.23
  5. Step 5: Solve for x
    x = 83,674,690.23/10,493.79
  6. Step 6: Final answer
    x = 7,973.73

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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.