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Finding the Fourth Proportional to 11,565.80, 17,349.72 and 3,245.88

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Solution

The fourth proportional to 11,565.80, 17,349.72 and 3,245.88 is: 4,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.80 : 17,349.72 = 3,245.88 : x
  2. Step 2: Convert to fraction form
    11,565.80/17,349.72 = 3,245.88/x
  3. Step 3: Cross multiply
    11,565.80x = 17,349.72 × 3,245.88
  4. Step 4: Simplify right side
    11,565.80x = 56,315,109.15
  5. Step 5: Solve for x
    x = 56,315,109.15/11,565.80
  6. Step 6: Final answer
    x = 4,869.11

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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.