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Finding the Fourth Proportional to 7,654.68, 10,563.86 and 4,297.32

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Solution

The fourth proportional to 7,654.68, 10,563.86 and 4,297.32 is: 5,930.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.68 : 10,563.86 = 4,297.32 : x
  2. Step 2: Convert to fraction form
    7,654.68/10,563.86 = 4,297.32/x
  3. Step 3: Cross multiply
    7,654.68x = 10,563.86 × 4,297.32
  4. Step 4: Simplify right side
    7,654.68x = 45,396,265.37
  5. Step 5: Solve for x
    x = 45,396,265.37/7,654.68
  6. Step 6: Final answer
    x = 5,930.52

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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.