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Finding the Fourth Proportional to 11,725.65, 16,180.86 and 6,420.35

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Solution

The fourth proportional to 11,725.65, 16,180.86 and 6,420.35 is: 8,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.65 : 16,180.86 = 6,420.35 : x
  2. Step 2: Convert to fraction form
    11,725.65/16,180.86 = 6,420.35/x
  3. Step 3: Cross multiply
    11,725.65x = 16,180.86 × 6,420.35
  4. Step 4: Simplify right side
    11,725.65x = 103,886,703.60
  5. Step 5: Solve for x
    x = 103,886,703.60/11,725.65
  6. Step 6: Final answer
    x = 8,859.78

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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.