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Finding the Fourth Proportional to 7,863.34, 11,778 and 3,697.11

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Solution

The fourth proportional to 7,863.34, 11,778 and 3,697.11 is: 5,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.34 : 11,778 = 3,697.11 : x
  2. Step 2: Convert to fraction form
    7,863.34/11,778 = 3,697.11/x
  3. Step 3: Cross multiply
    7,863.34x = 11,778 × 3,697.11
  4. Step 4: Simplify right side
    7,863.34x = 43,544,502.69
  5. Step 5: Solve for x
    x = 43,544,502.69/7,863.34
  6. Step 6: Final answer
    x = 5,537.66

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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.