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Finding the Fourth Proportional to 8,577.70, 12,866.55 and 3,646.10

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Solution

The fourth proportional to 8,577.70, 12,866.55 and 3,646.10 is: 5,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.70 : 12,866.55 = 3,646.10 : x
  2. Step 2: Convert to fraction form
    8,577.70/12,866.55 = 3,646.10/x
  3. Step 3: Cross multiply
    8,577.70x = 12,866.55 × 3,646.10
  4. Step 4: Simplify right side
    8,577.70x = 46,912,727.96
  5. Step 5: Solve for x
    x = 46,912,727.96/8,577.70
  6. Step 6: Final answer
    x = 5,469.15

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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.