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Finding the Fourth Proportional to 6,905.68, 10,358.96 and 2,522.57

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Solution

The fourth proportional to 6,905.68, 10,358.96 and 2,522.57 is: 3,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.68 : 10,358.96 = 2,522.57 : x
  2. Step 2: Convert to fraction form
    6,905.68/10,358.96 = 2,522.57/x
  3. Step 3: Cross multiply
    6,905.68x = 10,358.96 × 2,522.57
  4. Step 4: Simplify right side
    6,905.68x = 26,131,137.32
  5. Step 5: Solve for x
    x = 26,131,137.32/6,905.68
  6. Step 6: Final answer
    x = 3,784.01

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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.