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Finding the Fourth Proportional to 8,389.34, 12,584.05 and 2,546

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Solution

The fourth proportional to 8,389.34, 12,584.05 and 2,546 is: 3,819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.34 : 12,584.05 = 2,546 : x
  2. Step 2: Convert to fraction form
    8,389.34/12,584.05 = 2,546/x
  3. Step 3: Cross multiply
    8,389.34x = 12,584.05 × 2,546
  4. Step 4: Simplify right side
    8,389.34x = 32,038,991.30
  5. Step 5: Solve for x
    x = 32,038,991.30/8,389.34
  6. Step 6: Final answer
    x = 3,819.01

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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.