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Finding the Fourth Proportional to 11,565.57, 17,359.25 and 10,933.57

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Solution

The fourth proportional to 11,565.57, 17,359.25 and 10,933.57 is: 16,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.57 : 17,359.25 = 10,933.57 : x
  2. Step 2: Convert to fraction form
    11,565.57/17,359.25 = 10,933.57/x
  3. Step 3: Cross multiply
    11,565.57x = 17,359.25 × 10,933.57
  4. Step 4: Simplify right side
    11,565.57x = 189,798,575.02
  5. Step 5: Solve for x
    x = 189,798,575.02/11,565.57
  6. Step 6: Final answer
    x = 16,410.65

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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.