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Finding the Fourth Proportional to 10,199.40, 15,297.42 and 3,273

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Solution

The fourth proportional to 10,199.40, 15,297.42 and 3,273 is: 4,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.40 : 15,297.42 = 3,273 : x
  2. Step 2: Convert to fraction form
    10,199.40/15,297.42 = 3,273/x
  3. Step 3: Cross multiply
    10,199.40x = 15,297.42 × 3,273
  4. Step 4: Simplify right side
    10,199.40x = 50,068,455.66
  5. Step 5: Solve for x
    x = 50,068,455.66/10,199.40
  6. Step 6: Final answer
    x = 4,908.96

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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.