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Finding the Fourth Proportional to 10,707.80, 16,052.46 and 5,153.50

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Solution

The fourth proportional to 10,707.80, 16,052.46 and 5,153.50 is: 7,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.80 : 16,052.46 = 5,153.50 : x
  2. Step 2: Convert to fraction form
    10,707.80/16,052.46 = 5,153.50/x
  3. Step 3: Cross multiply
    10,707.80x = 16,052.46 × 5,153.50
  4. Step 4: Simplify right side
    10,707.80x = 82,726,372.68
  5. Step 5: Solve for x
    x = 82,726,372.68/10,707.80
  6. Step 6: Final answer
    x = 7,725.81

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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.