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Finding the Fourth Proportional to 8,382.12, 11,567.22 and 4,845.24

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Solution

The fourth proportional to 8,382.12, 11,567.22 and 4,845.24 is: 6,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.12 : 11,567.22 = 4,845.24 : x
  2. Step 2: Convert to fraction form
    8,382.12/11,567.22 = 4,845.24/x
  3. Step 3: Cross multiply
    8,382.12x = 11,567.22 × 4,845.24
  4. Step 4: Simplify right side
    8,382.12x = 56,045,957.03
  5. Step 5: Solve for x
    x = 56,045,957.03/8,382.12
  6. Step 6: Final answer
    x = 6,686.37

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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.