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Finding the Fourth Proportional to 10,737.80, 16,114.80 and 4,080.14

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Solution

The fourth proportional to 10,737.80, 16,114.80 and 4,080.14 is: 6,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.80 : 16,114.80 = 4,080.14 : x
  2. Step 2: Convert to fraction form
    10,737.80/16,114.80 = 4,080.14/x
  3. Step 3: Cross multiply
    10,737.80x = 16,114.80 × 4,080.14
  4. Step 4: Simplify right side
    10,737.80x = 65,750,640.07
  5. Step 5: Solve for x
    x = 65,750,640.07/10,737.80
  6. Step 6: Final answer
    x = 6,123.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.