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Finding the Fourth Proportional to 7,654.04, 10,563.05 and 5,097.42

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Solution

The fourth proportional to 7,654.04, 10,563.05 and 5,097.42 is: 7,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.04 : 10,563.05 = 5,097.42 : x
  2. Step 2: Convert to fraction form
    7,654.04/10,563.05 = 5,097.42/x
  3. Step 3: Cross multiply
    7,654.04x = 10,563.05 × 5,097.42
  4. Step 4: Simplify right side
    7,654.04x = 53,844,315.07
  5. Step 5: Solve for x
    x = 53,844,315.07/7,654.04
  6. Step 6: Final answer
    x = 7,034.76

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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.