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Finding the Fourth Proportional to 7,737.86, 11,597.24 and 3,053.16

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Solution

The fourth proportional to 7,737.86, 11,597.24 and 3,053.16 is: 4,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.86 : 11,597.24 = 3,053.16 : x
  2. Step 2: Convert to fraction form
    7,737.86/11,597.24 = 3,053.16/x
  3. Step 3: Cross multiply
    7,737.86x = 11,597.24 × 3,053.16
  4. Step 4: Simplify right side
    7,737.86x = 35,408,229.28
  5. Step 5: Solve for x
    x = 35,408,229.28/7,737.86
  6. Step 6: Final answer
    x = 4,575.97

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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.