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Finding the Fourth Proportional to 7,634.10, 10,535 and 4,276.90

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Solution

The fourth proportional to 7,634.10, 10,535 and 4,276.90 is: 5,902.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.10 : 10,535 = 4,276.90 : x
  2. Step 2: Convert to fraction form
    7,634.10/10,535 = 4,276.90/x
  3. Step 3: Cross multiply
    7,634.10x = 10,535 × 4,276.90
  4. Step 4: Simplify right side
    7,634.10x = 45,057,141.50
  5. Step 5: Solve for x
    x = 45,057,141.50/7,634.10
  6. Step 6: Final answer
    x = 5,902.09

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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.