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Finding the Fourth Proportional to 7,654.57, 10,563.16 and 4,297.12

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Solution

The fourth proportional to 7,654.57, 10,563.16 and 4,297.12 is: 5,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.57 : 10,563.16 = 4,297.12 : x
  2. Step 2: Convert to fraction form
    7,654.57/10,563.16 = 4,297.12/x
  3. Step 3: Cross multiply
    7,654.57x = 10,563.16 × 4,297.12
  4. Step 4: Simplify right side
    7,654.57x = 45,391,166.10
  5. Step 5: Solve for x
    x = 45,391,166.10/7,654.57
  6. Step 6: Final answer
    x = 5,929.94

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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.