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Finding the Fourth Proportional to 7,737.17, 10,677.23 and 4,200.30

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Solution

The fourth proportional to 7,737.17, 10,677.23 and 4,200.30 is: 5,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.17 : 10,677.23 = 4,200.30 : x
  2. Step 2: Convert to fraction form
    7,737.17/10,677.23 = 4,200.30/x
  3. Step 3: Cross multiply
    7,737.17x = 10,677.23 × 4,200.30
  4. Step 4: Simplify right side
    7,737.17x = 44,847,548.17
  5. Step 5: Solve for x
    x = 44,847,548.17/7,737.17
  6. Step 6: Final answer
    x = 5,796.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.