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Finding the Fourth Proportional to 10,493.73, 14,479.92 and 5,778.27

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Solution

The fourth proportional to 10,493.73, 14,479.92 and 5,778.27 is: 7,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.73 : 14,479.92 = 5,778.27 : x
  2. Step 2: Convert to fraction form
    10,493.73/14,479.92 = 5,778.27/x
  3. Step 3: Cross multiply
    10,493.73x = 14,479.92 × 5,778.27
  4. Step 4: Simplify right side
    10,493.73x = 83,668,887.34
  5. Step 5: Solve for x
    x = 83,668,887.34/10,493.73
  6. Step 6: Final answer
    x = 7,973.23

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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.