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Finding the Fourth Proportional to 11,565.75, 17,347.34 and 3,246.09

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Solution

The fourth proportional to 11,565.75, 17,347.34 and 3,246.09 is: 4,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.75 : 17,347.34 = 3,246.09 : x
  2. Step 2: Convert to fraction form
    11,565.75/17,347.34 = 3,246.09/x
  3. Step 3: Cross multiply
    11,565.75x = 17,347.34 × 3,246.09
  4. Step 4: Simplify right side
    11,565.75x = 56,311,010.67
  5. Step 5: Solve for x
    x = 56,311,010.67/11,565.75
  6. Step 6: Final answer
    x = 4,868.77

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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.