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Finding the Fourth Proportional to 8,464.80, 11,675.13 and 5,478.33

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Solution

The fourth proportional to 8,464.80, 11,675.13 and 5,478.33 is: 7,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.80 : 11,675.13 = 5,478.33 : x
  2. Step 2: Convert to fraction form
    8,464.80/11,675.13 = 5,478.33/x
  3. Step 3: Cross multiply
    8,464.80x = 11,675.13 × 5,478.33
  4. Step 4: Simplify right side
    8,464.80x = 63,960,214.93
  5. Step 5: Solve for x
    x = 63,960,214.93/8,464.80
  6. Step 6: Final answer
    x = 7,556.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.