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Finding the Fourth Proportional to 8,686.80, 13,035.66 and 4,996.23

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Solution

The fourth proportional to 8,686.80, 13,035.66 and 4,996.23 is: 7,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.80 : 13,035.66 = 4,996.23 : x
  2. Step 2: Convert to fraction form
    8,686.80/13,035.66 = 4,996.23/x
  3. Step 3: Cross multiply
    8,686.80x = 13,035.66 × 4,996.23
  4. Step 4: Simplify right side
    8,686.80x = 65,129,155.56
  5. Step 5: Solve for x
    x = 65,129,155.56/8,686.80
  6. Step 6: Final answer
    x = 7,497.49

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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.