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Finding the Fourth Proportional to 7,683.23, 10,606.13 and 5,166.80

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Solution

The fourth proportional to 7,683.23, 10,606.13 and 5,166.80 is: 7,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.23 : 10,606.13 = 5,166.80 : x
  2. Step 2: Convert to fraction form
    7,683.23/10,606.13 = 5,166.80/x
  3. Step 3: Cross multiply
    7,683.23x = 10,606.13 × 5,166.80
  4. Step 4: Simplify right side
    7,683.23x = 54,799,752.48
  5. Step 5: Solve for x
    x = 54,799,752.48/7,683.23
  6. Step 6: Final answer
    x = 7,132.38

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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.