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Finding the Fourth Proportional to 7,808.54, 11,707.94 and 3,646.76

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Solution

The fourth proportional to 7,808.54, 11,707.94 and 3,646.76 is: 5,467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.54 : 11,707.94 = 3,646.76 : x
  2. Step 2: Convert to fraction form
    7,808.54/11,707.94 = 3,646.76/x
  3. Step 3: Cross multiply
    7,808.54x = 11,707.94 × 3,646.76
  4. Step 4: Simplify right side
    7,808.54x = 42,695,997.85
  5. Step 5: Solve for x
    x = 42,695,997.85/7,808.54
  6. Step 6: Final answer
    x = 5,467.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.