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Finding the Fourth Proportional to 7,377.86, 11,065.16 and 2,181.98

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Solution

The fourth proportional to 7,377.86, 11,065.16 and 2,181.98 is: 3,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377.86 : 11,065.16 = 2,181.98 : x
  2. Step 2: Convert to fraction form
    7,377.86/11,065.16 = 2,181.98/x
  3. Step 3: Cross multiply
    7,377.86x = 11,065.16 × 2,181.98
  4. Step 4: Simplify right side
    7,377.86x = 24,143,957.82
  5. Step 5: Solve for x
    x = 24,143,957.82/7,377.86
  6. Step 6: Final answer
    x = 3,272.49

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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.