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Finding the Fourth Proportional to 11,565.05, 15,961.05 and 6,849.63

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Solution

The fourth proportional to 11,565.05, 15,961.05 and 6,849.63 is: 9,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.05 : 15,961.05 = 6,849.63 : x
  2. Step 2: Convert to fraction form
    11,565.05/15,961.05 = 6,849.63/x
  3. Step 3: Cross multiply
    11,565.05x = 15,961.05 × 6,849.63
  4. Step 4: Simplify right side
    11,565.05x = 109,327,286.91
  5. Step 5: Solve for x
    x = 109,327,286.91/11,565.05
  6. Step 6: Final answer
    x = 9,453.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.