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Finding the Fourth Proportional to 7,565.82, 11,354.26 and 3,871.14

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Solution

The fourth proportional to 7,565.82, 11,354.26 and 3,871.14 is: 5,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.82 : 11,354.26 = 3,871.14 : x
  2. Step 2: Convert to fraction form
    7,565.82/11,354.26 = 3,871.14/x
  3. Step 3: Cross multiply
    7,565.82x = 11,354.26 × 3,871.14
  4. Step 4: Simplify right side
    7,565.82x = 43,953,930.06
  5. Step 5: Solve for x
    x = 43,953,930.06/7,565.82
  6. Step 6: Final answer
    x = 5,809.54

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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.