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Finding the Fourth Proportional to 7,654.71, 10,563.30 and 4,297.49

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Solution

The fourth proportional to 7,654.71, 10,563.30 and 4,297.49 is: 5,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.71 : 10,563.30 = 4,297.49 : x
  2. Step 2: Convert to fraction form
    7,654.71/10,563.30 = 4,297.49/x
  3. Step 3: Cross multiply
    7,654.71x = 10,563.30 × 4,297.49
  4. Step 4: Simplify right side
    7,654.71x = 45,395,623.30
  5. Step 5: Solve for x
    x = 45,395,623.30/7,654.71
  6. Step 6: Final answer
    x = 5,930.42

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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.