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Finding the Fourth Proportional to 11,947.86, 16,483.68 and 7,230.42

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Solution

The fourth proportional to 11,947.86, 16,483.68 and 7,230.42 is: 9,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.86 : 16,483.68 = 7,230.42 : x
  2. Step 2: Convert to fraction form
    11,947.86/16,483.68 = 7,230.42/x
  3. Step 3: Cross multiply
    11,947.86x = 16,483.68 × 7,230.42
  4. Step 4: Simplify right side
    11,947.86x = 119,183,929.55
  5. Step 5: Solve for x
    x = 119,183,929.55/11,947.86
  6. Step 6: Final answer
    x = 9,975.34

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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.