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Finding the Fourth Proportional to 10,786.51, 16,179.81 and 6,407.65

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Solution

The fourth proportional to 10,786.51, 16,179.81 and 6,407.65 is: 9,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.51 : 16,179.81 = 6,407.65 : x
  2. Step 2: Convert to fraction form
    10,786.51/16,179.81 = 6,407.65/x
  3. Step 3: Cross multiply
    10,786.51x = 16,179.81 × 6,407.65
  4. Step 4: Simplify right side
    10,786.51x = 103,674,559.55
  5. Step 5: Solve for x
    x = 103,674,559.55/10,786.51
  6. Step 6: Final answer
    x = 9,611.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.