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Finding the Fourth Proportional to 7,773.80, 11,653.38 and 3,874.52

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Solution

The fourth proportional to 7,773.80, 11,653.38 and 3,874.52 is: 5,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.80 : 11,653.38 = 3,874.52 : x
  2. Step 2: Convert to fraction form
    7,773.80/11,653.38 = 3,874.52/x
  3. Step 3: Cross multiply
    7,773.80x = 11,653.38 × 3,874.52
  4. Step 4: Simplify right side
    7,773.80x = 45,151,253.88
  5. Step 5: Solve for x
    x = 45,151,253.88/7,773.80
  6. Step 6: Final answer
    x = 5,808.13

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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.