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Finding the Fourth Proportional to 10,243.96, 15,364.15 and 2,849

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Solution

The fourth proportional to 10,243.96, 15,364.15 and 2,849 is: 4,273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.96 : 15,364.15 = 2,849 : x
  2. Step 2: Convert to fraction form
    10,243.96/15,364.15 = 2,849/x
  3. Step 3: Cross multiply
    10,243.96x = 15,364.15 × 2,849
  4. Step 4: Simplify right side
    10,243.96x = 43,772,463.35
  5. Step 5: Solve for x
    x = 43,772,463.35/10,243.96
  6. Step 6: Final answer
    x = 4,273.00

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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.