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Finding the Fourth Proportional to 11,288.82, 15,570.18 and 7,306.86

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Solution

The fourth proportional to 11,288.82, 15,570.18 and 7,306.86 is: 10,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.82 : 15,570.18 = 7,306.86 : x
  2. Step 2: Convert to fraction form
    11,288.82/15,570.18 = 7,306.86/x
  3. Step 3: Cross multiply
    11,288.82x = 15,570.18 × 7,306.86
  4. Step 4: Simplify right side
    11,288.82x = 113,769,125.43
  5. Step 5: Solve for x
    x = 113,769,125.43/11,288.82
  6. Step 6: Final answer
    x = 10,078.04

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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.