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Finding the Fourth Proportional to 8,577.36, 12,864.72 and 3,311.62

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Solution

The fourth proportional to 8,577.36, 12,864.72 and 3,311.62 is: 4,966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.36 : 12,864.72 = 3,311.62 : x
  2. Step 2: Convert to fraction form
    8,577.36/12,864.72 = 3,311.62/x
  3. Step 3: Cross multiply
    8,577.36x = 12,864.72 × 3,311.62
  4. Step 4: Simplify right side
    8,577.36x = 42,603,064.05
  5. Step 5: Solve for x
    x = 42,603,064.05/8,577.36
  6. Step 6: Final answer
    x = 4,966.92

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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.