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Finding the Fourth Proportional to 7,654.08, 10,564.32 and 4,512.09

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Solution

The fourth proportional to 7,654.08, 10,564.32 and 4,512.09 is: 6,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.08 : 10,564.32 = 4,512.09 : x
  2. Step 2: Convert to fraction form
    7,654.08/10,564.32 = 4,512.09/x
  3. Step 3: Cross multiply
    7,654.08x = 10,564.32 × 4,512.09
  4. Step 4: Simplify right side
    7,654.08x = 47,667,162.63
  5. Step 5: Solve for x
    x = 47,667,162.63/7,654.08
  6. Step 6: Final answer
    x = 6,227.68

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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.