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Finding the Fourth Proportional to 11,947.91, 16,483.50 and 7,698.65

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Solution

The fourth proportional to 11,947.91, 16,483.50 and 7,698.65 is: 10,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.91 : 16,483.50 = 7,698.65 : x
  2. Step 2: Convert to fraction form
    11,947.91/16,483.50 = 7,698.65/x
  3. Step 3: Cross multiply
    11,947.91x = 16,483.50 × 7,698.65
  4. Step 4: Simplify right side
    11,947.91x = 126,900,614.86
  5. Step 5: Solve for x
    x = 126,900,614.86/11,947.91
  6. Step 6: Final answer
    x = 10,621.16

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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.