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Finding the Fourth Proportional to 12,986.53, 17,923.38 and 7,683.05

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Solution

The fourth proportional to 12,986.53, 17,923.38 and 7,683.05 is: 10,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.53 : 17,923.38 = 7,683.05 : x
  2. Step 2: Convert to fraction form
    12,986.53/17,923.38 = 7,683.05/x
  3. Step 3: Cross multiply
    12,986.53x = 17,923.38 × 7,683.05
  4. Step 4: Simplify right side
    12,986.53x = 137,706,240.71
  5. Step 5: Solve for x
    x = 137,706,240.71/12,986.53
  6. Step 6: Final answer
    x = 10,603.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.