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Finding the Fourth Proportional to 10,522.08, 15,744.14 and 8,435.78

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Solution

The fourth proportional to 10,522.08, 15,744.14 and 8,435.78 is: 12,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.08 : 15,744.14 = 8,435.78 : x
  2. Step 2: Convert to fraction form
    10,522.08/15,744.14 = 8,435.78/x
  3. Step 3: Cross multiply
    10,522.08x = 15,744.14 × 8,435.78
  4. Step 4: Simplify right side
    10,522.08x = 132,813,980.43
  5. Step 5: Solve for x
    x = 132,813,980.43/10,522.08
  6. Step 6: Final answer
    x = 12,622.41

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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.