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Finding the Fourth Proportional to 7,585.29, 11,383.05 and 2,654.97

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Solution

The fourth proportional to 7,585.29, 11,383.05 and 2,654.97 is: 3,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.29 : 11,383.05 = 2,654.97 : x
  2. Step 2: Convert to fraction form
    7,585.29/11,383.05 = 2,654.97/x
  3. Step 3: Cross multiply
    7,585.29x = 11,383.05 × 2,654.97
  4. Step 4: Simplify right side
    7,585.29x = 30,221,656.26
  5. Step 5: Solve for x
    x = 30,221,656.26/7,585.29
  6. Step 6: Final answer
    x = 3,984.25

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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.