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Finding the Fourth Proportional to 8,605.80, 11,866.32 and 5,955.12

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Solution

The fourth proportional to 8,605.80, 11,866.32 and 5,955.12 is: 8,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.80 : 11,866.32 = 5,955.12 : x
  2. Step 2: Convert to fraction form
    8,605.80/11,866.32 = 5,955.12/x
  3. Step 3: Cross multiply
    8,605.80x = 11,866.32 × 5,955.12
  4. Step 4: Simplify right side
    8,605.80x = 70,665,359.56
  5. Step 5: Solve for x
    x = 70,665,359.56/8,605.80
  6. Step 6: Final answer
    x = 8,211.36

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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.