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Finding the Fourth Proportional to 7,808.91, 11,719.50 and 3,646.77

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Solution

The fourth proportional to 7,808.91, 11,719.50 and 3,646.77 is: 5,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.91 : 11,719.50 = 3,646.77 : x
  2. Step 2: Convert to fraction form
    7,808.91/11,719.50 = 3,646.77/x
  3. Step 3: Cross multiply
    7,808.91x = 11,719.50 × 3,646.77
  4. Step 4: Simplify right side
    7,808.91x = 42,738,321.02
  5. Step 5: Solve for x
    x = 42,738,321.02/7,808.91
  6. Step 6: Final answer
    x = 5,473.02

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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.