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Finding the Fourth Proportional to 8,577.84, 12,866.73 and 5,634.87

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Solution

The fourth proportional to 8,577.84, 12,866.73 and 5,634.87 is: 8,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.84 : 12,866.73 = 5,634.87 : x
  2. Step 2: Convert to fraction form
    8,577.84/12,866.73 = 5,634.87/x
  3. Step 3: Cross multiply
    8,577.84x = 12,866.73 × 5,634.87
  4. Step 4: Simplify right side
    8,577.84x = 72,502,350.88
  5. Step 5: Solve for x
    x = 72,502,350.88/8,577.84
  6. Step 6: Final answer
    x = 8,452.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.