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Finding the Fourth Proportional to 8,522.14, 12,783.34 and 2,678.75

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Solution

The fourth proportional to 8,522.14, 12,783.34 and 2,678.75 is: 4,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.14 : 12,783.34 = 2,678.75 : x
  2. Step 2: Convert to fraction form
    8,522.14/12,783.34 = 2,678.75/x
  3. Step 3: Cross multiply
    8,522.14x = 12,783.34 × 2,678.75
  4. Step 4: Simplify right side
    8,522.14x = 34,243,372.03
  5. Step 5: Solve for x
    x = 34,243,372.03/8,522.14
  6. Step 6: Final answer
    x = 4,018.17

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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.