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Finding the Fourth Proportional to 10,297.49, 15,446.85 and 2,902.58

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Solution

The fourth proportional to 10,297.49, 15,446.85 and 2,902.58 is: 4,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.49 : 15,446.85 = 2,902.58 : x
  2. Step 2: Convert to fraction form
    10,297.49/15,446.85 = 2,902.58/x
  3. Step 3: Cross multiply
    10,297.49x = 15,446.85 × 2,902.58
  4. Step 4: Simplify right side
    10,297.49x = 44,835,717.87
  5. Step 5: Solve for x
    x = 44,835,717.87/10,297.49
  6. Step 6: Final answer
    x = 4,354.04

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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.