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Finding the Fourth Proportional to 11,695.83, 17,539.55 and 4,298.64

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Solution

The fourth proportional to 11,695.83, 17,539.55 and 4,298.64 is: 6,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.83 : 17,539.55 = 4,298.64 : x
  2. Step 2: Convert to fraction form
    11,695.83/17,539.55 = 4,298.64/x
  3. Step 3: Cross multiply
    11,695.83x = 17,539.55 × 4,298.64
  4. Step 4: Simplify right side
    11,695.83x = 75,396,189.72
  5. Step 5: Solve for x
    x = 75,396,189.72/11,695.83
  6. Step 6: Final answer
    x = 6,446.42

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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.