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Finding the Fourth Proportional to 11,709.61, 17,565.33 and 3,389.75

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Solution

The fourth proportional to 11,709.61, 17,565.33 and 3,389.75 is: 5,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.61 : 17,565.33 = 3,389.75 : x
  2. Step 2: Convert to fraction form
    11,709.61/17,565.33 = 3,389.75/x
  3. Step 3: Cross multiply
    11,709.61x = 17,565.33 × 3,389.75
  4. Step 4: Simplify right side
    11,709.61x = 59,542,020.74
  5. Step 5: Solve for x
    x = 59,542,020.74/11,709.61
  6. Step 6: Final answer
    x = 5,084.89

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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.