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Finding the Fourth Proportional to 10,739.84, 16,114.35 and 5,812.97

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Solution

The fourth proportional to 10,739.84, 16,114.35 and 5,812.97 is: 8,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.84 : 16,114.35 = 5,812.97 : x
  2. Step 2: Convert to fraction form
    10,739.84/16,114.35 = 5,812.97/x
  3. Step 3: Cross multiply
    10,739.84x = 16,114.35 × 5,812.97
  4. Step 4: Simplify right side
    10,739.84x = 93,672,233.12
  5. Step 5: Solve for x
    x = 93,672,233.12/10,739.84
  6. Step 6: Final answer
    x = 8,721.94

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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.