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Finding the Fourth Proportional to 5,114.10, 7,667.07 and 4,704.06

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Solution

The fourth proportional to 5,114.10, 7,667.07 and 4,704.06 is: 7,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.10 : 7,667.07 = 4,704.06 : x
  2. Step 2: Convert to fraction form
    5,114.10/7,667.07 = 4,704.06/x
  3. Step 3: Cross multiply
    5,114.10x = 7,667.07 × 4,704.06
  4. Step 4: Simplify right side
    5,114.10x = 36,066,357.30
  5. Step 5: Solve for x
    x = 36,066,357.30/5,114.10
  6. Step 6: Final answer
    x = 7,052.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.