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Finding the Fourth Proportional to 8,476.44, 11,693.32 and 7,355.80

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Solution

The fourth proportional to 8,476.44, 11,693.32 and 7,355.80 is: 10,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.44 : 11,693.32 = 7,355.80 : x
  2. Step 2: Convert to fraction form
    8,476.44/11,693.32 = 7,355.80/x
  3. Step 3: Cross multiply
    8,476.44x = 11,693.32 × 7,355.80
  4. Step 4: Simplify right side
    8,476.44x = 86,013,723.26
  5. Step 5: Solve for x
    x = 86,013,723.26/8,476.44
  6. Step 6: Final answer
    x = 10,147.39

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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.