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Finding the Fourth Proportional to 8,465.25, 11,685.17 and 5,108.20

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Solution

The fourth proportional to 8,465.25, 11,685.17 and 5,108.20 is: 7,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.25 : 11,685.17 = 5,108.20 : x
  2. Step 2: Convert to fraction form
    8,465.25/11,685.17 = 5,108.20/x
  3. Step 3: Cross multiply
    8,465.25x = 11,685.17 × 5,108.20
  4. Step 4: Simplify right side
    8,465.25x = 59,690,185.39
  5. Step 5: Solve for x
    x = 59,690,185.39/8,465.25
  6. Step 6: Final answer
    x = 7,051.20

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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.