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Finding the Fourth Proportional to 7,654.29, 10,563.40 and 5,097.67

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Solution

The fourth proportional to 7,654.29, 10,563.40 and 5,097.67 is: 7,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.29 : 10,563.40 = 5,097.67 : x
  2. Step 2: Convert to fraction form
    7,654.29/10,563.40 = 5,097.67/x
  3. Step 3: Cross multiply
    7,654.29x = 10,563.40 × 5,097.67
  4. Step 4: Simplify right side
    7,654.29x = 53,848,727.28
  5. Step 5: Solve for x
    x = 53,848,727.28/7,654.29
  6. Step 6: Final answer
    x = 7,035.10

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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.