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Finding the Fourth Proportional to 8,464.26, 11,677.96 and 5,482.38

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Solution

The fourth proportional to 8,464.26, 11,677.96 and 5,482.38 is: 7,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.26 : 11,677.96 = 5,482.38 : x
  2. Step 2: Convert to fraction form
    8,464.26/11,677.96 = 5,482.38/x
  3. Step 3: Cross multiply
    8,464.26x = 11,677.96 × 5,482.38
  4. Step 4: Simplify right side
    8,464.26x = 64,023,014.34
  5. Step 5: Solve for x
    x = 64,023,014.34/8,464.26
  6. Step 6: Final answer
    x = 7,563.92

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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.